CAT Data Interpretation Basics Questions & Solutions

A sample of real CAT Data Interpretation Basics past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 103 Data Interpretation Basics questions in all — sign up free to practise them timed.

Passage
In a certain board examination, students were to appear for examination in five subjects:
English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations.

The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations.

If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for. If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for. The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations.

The following facts are also known.
I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations.
II. The student who missed the Mathematics examination did not miss any other examination.
III. One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination.
Q1.CAT 2020
Who among the following did not appear for the Mathematics examination?
- Alva
- Carl
- Foni
- Esha
Show solution
Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination. This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate. Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores. We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores.

For Alva: best 3 out of 4 - 80(English), 75(Hindi), 75(Science)

Avg. = 230/3 = 76.67 $\ne\$ 70

For Carl: best 3 out of 4 - 80(Hindi), 90(Social Science), 100(Science)

Avg. = 270/3 = 90 which matches the given value

$\therefore\$ Carl most likely missed his Mathematics examination.

For Foni: best 3 out of 4 - 83(English), 83(Social Science), 88(Science)

Avg. = 254/3 = 84.67 $\ne\$ 78

Hence, we observe that only Carl has missed his Mathematics examination. Hence, Option B is the correct answer.
Passage
XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery. The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day. It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively
Q2.CAT 2020
The delivery ratio for a given day is defined as the ratio of the number of orders booked on that day which are delivered on the next day to the number of orders booked on that day which are delivered on the second day after booking. On which of the following days, was the delivery ratio the highest?
- 15th
- 16th
- 13th
- 14th
Show solution
The cumulative orders booked by 19th are 337 and that of 18th are 332=> No. orders booked on 19th are 5

Similarly we can find the orders booked on that day till 14th.

Number of orders lost that were booked on 12th = Cumulative orders lost till 14th-Cumulative orders lost till 13th =92-91=1

Similarly, the number of orders lost till 17th can be found out.

Number of orders delivered on 13th are 11 out of which 4 are orders which were booked in 11th so, 7 must be the orders which were booked on 12th.

Similarly, we can find the orders which took 1day and 2 days to get delivered till 17th.

Now, total number of orders booked on 12th will be 7+6=1=14.

From the table we can determine that among options, number of orders booked on 13th are maximum.

For 15 the delivery ratio = 8/8 = 1

For 16 the delivery ratio = 13/10 = 1.3

For 13 the delivery ratio = 21/8 = 2.625

For 14 the delivery ratio = 15/3 = 5

Hence Option D
Passage
DIRECTIONS for the following four questions:

A low-cost airline company connects ten India cities, A to J. The table below gives the distance between a pair of airports and the corresponding price charged by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they have to stop at more than two intermediate airports.

Q3.CAT 2007
If the prices include a margin of 15% over the total cost that the company incurs, which among the following is the distance to be covered in flying from A to J that minimizes the total cost of travel for the company?
- 2170
- 2180
- 2315
- 2350
- 2390
Show solution
Even if If the prices include a margin of 15% over the total cost that the company incurs, the total cost company incurs would be minimum for route AHJ i.e 2350 km. Hence option D.
Passage
The table below presents the revenue (in million rupees) of four firms in three states. These firms, Honest Ltd., Aggressive Ltd., Truthful Ltd. and Profitable Ltd. are disguised in the table as A,B,C and D, in no particular order.

Further, it is known that:
- In the state of MP, Truthful Ltd. has the highest market share.
- Aggressive Ltd.’s aggregate revenue differs from Honest Ltd.’s by Rs. 5 million.
Q4.CAT 2005
What can be said regarding the following two statements?
Statement 1: Honest Ltd. has the highest share in the UP market.
Statement 2: Aggressive Ltd. has the highest share in the Bihar market.
- Both statements could be true.
- At least one of the statements must be true.
- At most one of the statements is true.
- None of the above.
Show solution
We have ,

There is a difference of 5 million between Firm A and Firm D and also between Firm C and Firm B . Now if statement 1 is true then Honest ltd. would be firm B , and aggressive ltd. would be firm C. But now if we consider statement 2 we get Agressive ltd. as firm B and Honest ltd as firm C. Thus any 1 out of the 2 statements can be true and not both together. hence option C.
Passage
Directions for the following four questions: Answer the questions on the basis of the information given below.

A study was conduced to ascertain the relative importance that employees in five different countries assigned to five different traits in their Chief Executive Officers. The traits were compassion (C), decisiveness (D), negotiation skills (N), public visibility (P), and vision (V). The level of dissimilarity between two countries is the maximum difference in the ranks allotted by the two countries to any of the five traits. The following table indicates the rank order of the five traits for each country.

Q5.CAT 2004
Which of the following countries is least dissimilar to India?
- China
- Japan
- Malaysia
- Thailand
Show solution
If we find maximum of difference in ranks for all traits between India and others we find that the difference is least for India and china with just 2 points. Hence china is least dissimilar to India.
Passage
DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children, and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

Q6.CAT 2003
The percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least
- 6.67%
- 10%
- 13.33%
- 26.67%
Show solution
There are atleast 4 respondents that fall into the 35 to 40 years age group (both inclusive) . So 400/30 = 13.333 % . Hence , the percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least 13.333%.
Passage
Directions for the following four questions: Answer the questions based on the table given below concerning the busiest 20 international airports in the world.

Q7.CAT 2001
How many international airports of type ‘A’ account for more than 40 million passengers?
- 4
- 5
- 6
- 7
Show solution
1 Million = 10 lakhs. Using the conversion and manually counting the international airports of type ‘A’ accounting for more than 40 million passengers, we get 5 such airports. Hence option B .
Passage
Directions for the following four questions: Answer the questions based on the table given below.

The following table describes garments manufactured based upon the color and size for each lay. There are four sizes: M – medium, L – large, XL – extra large and XXL – extra extra large. There are three colors: yellow, red and white.

Q8.CAT 2001
How many varieties of fabrics, which exceed the order, have been produced?
- 3
- 4
- 5
- 6
Show solution
Counting the number of variety of fabrics which have positive non-zero surplus, we get 4 such varieties. Hence option B.
Passage
These questions are based on the table below presenting data on percentage population covered by drinking water and sanitation facilities in selected Asian countries.

Country A is said to dominate B or A > B if A has higher percentage in total coverage for both drinking water and sanitation facilities, and, B is said to be dominated by A, or B < A. A country is said to be on the coverage frontier if no other country dominates it. Similarly, a country is not on the coverage frontier if it is dominated by at least one other country.
Q9.CAT 1999
Using only the data presented under Sanitation facilities columns, it can be concluded that rural population in India, as a percentage of its total population is approximately
- 76
- 70
- 73
- Cannot be determined
Show solution
Let total rural population in India be R and urban population in India be U.

Total population in India = T = U + R

Based on the sanitation facilities table,

$\frac{70}{100}$ U + $\frac{14}{100}$ R = $\frac{29}{100}$ (U + R)

Solving, we get

$\frac{U}{R}$ = $\frac{15}{41}$

U : R = 15 : 41

Rural population % = $\frac{41}{15+41}\times\ 100$ = $\frac{41}{56}\times\ 100$ = 73.2%
Passage
The following table gives the quantities of apples (in tonnes) arriving at New Delhi market from various states in a particular year. The month in which demand was more than supply, the additional demand was met by the stock from cold storage.

Q10.CAT 1998
Which state supplied the highest percentage of apples from the total apples supplied?
- HP
- UP
- J & K
- Cannot be determined
Show solution
The answer to this question is the same as the state which supplied the maximum number of apples.
We can rule out UP and Cold Storage as they supplied significantly less than the other two.
Among the other two states,
The total number of apples supplied by HP is 231,028
The total number of apples supplied by J&K; is 262,735
Hence, the correct answer is J&K;
Passage
Answer the questions based on the following information.

Krishna distributed 10-acre land to Gopal and Ram who paid him the total amount in the ratio 2 : 3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon trees in the ratio 5 : 1 on equal areas of land. There were a total of 100 lemon trees. The cost of one coconut was Rs. 5. The crop took 7 years to mature and when the crop was reaped in 1997, the total revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue generated from the coconut and lemon trees was in the ratio 3 : 2 and it was shared equally by Gopal and Ram as the initial amount spent by them were equal.
Q11.CAT 1998
What was the amount received by Gopal in 1997?
- Rs. 1.5 lakh
- Rs. 3 lakh
- Rs. 6 lakh
- None of these
Show solution
Let the amounts paid by Gopal and Ram to Krishna be 2X and 3X.
Gopal invested 2 lakhs additionally.
So, the total amount spent by him is 2X+2.
As the total amounts spent by the two of them are equal, it implies that 2X+2 = 3X or X = 2
Hence, the cost of the land is 2X+3X = 5X = 10 lakhs.
Total investment by the two of them is 10+2 = 12 lakhs
Hence, the total revenue generated is 12*25% = 3 lakhs.
As the revenue is split equally, Gopal's share in the revenue is $3*\frac{1}{2} = 1.5$ lakhs
Passage
Read the following information and answer the questions that follows: Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.
Q12.CAT 1991
The year, at the end of which, Ghosh Babu withdrew the smallest amount was:
- First
- Second
- Third
- Fourth
Show solution
Let's say the principal amount is P, Rate is R (i.e. R = 10%)

1st withdrawal = $PR+ \frac{P}{5} = \frac{15P}{50}$

2nd withdrawal = $\frac{4PR}{5}+ \frac{2P}{5}$ = $\frac{24P}{50}$

3rd withdrawal = $\frac{2PR}{5} + \frac{P}{5}$ = $\frac{12P}{50}$

4th withdrawal = $\frac{PR}{5} + \frac{P}{5}$ = $\frac{11P}{50}$

Lowest withdrawal was after the fourth year.

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CAT Data Interpretation Basics Questions & Solutions

Passage

In a certain board examination, students were to appear for examination in five subjects:
English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations.

The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations.

If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for. If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for. The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations.

The following facts are also known.
I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations.
II. The student who missed the Mathematics examination did not miss any other examination.
III. One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination.

Q1.CAT 2020

Who among the following did not appear for the Mathematics examination?

Alva
Carl
Foni
Esha

Show solution

Based on Condition II, we understand that the student who missed the Mathematics examination did not miss any other examination. This indicates that the Maths score is bound to be the average of the best 3 out of the 4 exam scores obtained by this candidate. Based on this inference, we can proceed with identifying the math score that can be represented as an average of the rest of the scores. We can straightaway eliminate Deep and Esha as potential candidates, given that their Mathematics score is greater than the rest of the exam scores.

For Alva: best 3 out of 4 - 80(English), 75(Hindi), 75(Science)

Avg. = 230/3 = 76.67 $\ne\$ 70

For Carl: best 3 out of 4 - 80(Hindi), 90(Social Science), 100(Science)

Avg. = 270/3 = 90 which matches the given value

$\therefore\$ Carl most likely missed his Mathematics examination.

For Foni: best 3 out of 4 - 83(English), 83(Social Science), 88(Science)

Avg. = 254/3 = 84.67 $\ne\$ 78

Hence, we observe that only Carl has missed his Mathematics examination. Hence, Option B is the correct answer.

Passage

XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery. The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day. It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively

Q2.CAT 2020

The delivery ratio for a given day is defined as the ratio of the number of orders booked on that day which are delivered on the next day to the number of orders booked on that day which are delivered on the second day after booking. On which of the following days, was the delivery ratio the highest?

15th
16th
13th
14th

Show solution

The cumulative orders booked by 19th are 337 and that of 18th are 332=> No. orders booked on 19th are 5

Similarly we can find the orders booked on that day till 14th.

Number of orders lost that were booked on 12th = Cumulative orders lost till 14th-Cumulative orders lost till 13th =92-91=1

Similarly, the number of orders lost till 17th can be found out.

Number of orders delivered on 13th are 11 out of which 4 are orders which were booked in 11th so, 7 must be the orders which were booked on 12th.

Similarly, we can find the orders which took 1day and 2 days to get delivered till 17th.

Now, total number of orders booked on 12th will be 7+6=1=14.

From the table we can determine that among options, number of orders booked on 13th are maximum.

For 15 the delivery ratio = 8/8 = 1

For 16 the delivery ratio = 13/10 = 1.3

For 13 the delivery ratio = 21/8 = 2.625

For 14 the delivery ratio = 15/3 = 5

Hence Option D

Passage

DIRECTIONS for the following four questions:

A low-cost airline company connects ten India cities, A to J. The table below gives the distance between a pair of airports and the corresponding price charged by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they have to stop at more than two intermediate airports.

Q3.CAT 2007

If the prices include a margin of 15% over the total cost that the company incurs, which among the following is the distance to be covered in flying from A to J that minimizes the total cost of travel for the company?

2170
2180
2315
2350
2390

Show solution

Even if If the prices include a margin of 15% over the total cost that the company incurs, the total cost company incurs would be minimum for route AHJ i.e 2350 km. Hence option D.

Passage

The table below presents the revenue (in million rupees) of four firms in three states. These firms, Honest Ltd., Aggressive Ltd., Truthful Ltd. and Profitable Ltd. are disguised in the table as A,B,C and D, in no particular order.

Further, it is known that:

In the state of MP, Truthful Ltd. has the highest market share.
Aggressive Ltd.’s aggregate revenue differs from Honest Ltd.’s by Rs. 5 million.

Q4.CAT 2005

What can be said regarding the following two statements?

Statement 1: Honest Ltd. has the highest share in the UP market.

Statement 2: Aggressive Ltd. has the highest share in the Bihar market.

Both statements could be true.
At least one of the statements must be true.
At most one of the statements is true.
None of the above.

Show solution

We have ,

There is a difference of 5 million between Firm A and Firm D and also between Firm C and Firm B . Now if statement 1 is true then Honest ltd. would be firm B , and aggressive ltd. would be firm C. But now if we consider statement 2 we get Agressive ltd. as firm B and Honest ltd as firm C. Thus any 1 out of the 2 statements can be true and not both together. hence option C.

Passage

Directions for the following four questions: Answer the questions on the basis of the information given below.

A study was conduced to ascertain the relative importance that employees in five different countries assigned to five different traits in their Chief Executive Officers. The traits were compassion (C), decisiveness (D), negotiation skills (N), public visibility (P), and vision (V). The level of dissimilarity between two countries is the maximum difference in the ranks allotted by the two countries to any of the five traits. The following table indicates the rank order of the five traits for each country.

Q5.CAT 2004

Which of the following countries is least dissimilar to India?

China
Japan
Malaysia
Thailand

Show solution

If we find maximum of difference in ranks for all traits between India and others we find that the difference is least for India and china with just 2 points. Hence china is least dissimilar to India.

Passage

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children, and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

Q6.CAT 2003

The percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least

6.67%
10%
13.33%
26.67%

Show solution

There are atleast 4 respondents that fall into the 35 to 40 years age group (both inclusive) . So 400/30 = 13.333 % . Hence , the percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least 13.333%.

Passage

Directions for the following four questions: Answer the questions based on the table given below concerning the busiest 20 international airports in the world.

Q7.CAT 2001

How many international airports of type ‘A’ account for more than 40 million passengers?

Show solution

1 Million = 10 lakhs. Using the conversion and manually counting the international airports of type ‘A’ accounting for more than 40 million passengers, we get 5 such airports. Hence option B .

Passage

Directions for the following four questions: Answer the questions based on the table given below.

The following table describes garments manufactured based upon the color and size for each lay. There are four sizes: M – medium, L – large, XL – extra large and XXL – extra extra large. There are three colors: yellow, red and white.

Q8.CAT 2001

How many varieties of fabrics, which exceed the order, have been produced?

Show solution

Counting the number of variety of fabrics which have positive non-zero surplus, we get 4 such varieties. Hence option B.

Passage

These questions are based on the table below presenting data on percentage population covered by drinking water and sanitation facilities in selected Asian countries.

Country A is said to dominate B or A > B if A has higher percentage in total coverage for both drinking water and sanitation facilities, and, B is said to be dominated by A, or B < A. A country is said to be on the coverage frontier if no other country dominates it. Similarly, a country is not on the coverage frontier if it is dominated by at least one other country.

Q9.CAT 1999

Using only the data presented under Sanitation facilities columns, it can be concluded that rural population in India, as a percentage of its total population is approximately

76
70
73
Cannot be determined

Show solution

Let total rural population in India be R and urban population in India be U.

Total population in India = T = U + R

Based on the sanitation facilities table,

$\frac{70}{100}$ U + $\frac{14}{100}$ R = $\frac{29}{100}$ (U + R)

Solving, we get

$\frac{U}{R}$ = $\frac{15}{41}$

U : R = 15 : 41

Rural population % = $\frac{41}{15+41}\times\ 100$ = $\frac{41}{56}\times\ 100$ = 73.2%

Passage

The following table gives the quantities of apples (in tonnes) arriving at New Delhi market from various states in a particular year. The month in which demand was more than supply, the additional demand was met by the stock from cold storage.

Q10.CAT 1998

Which state supplied the highest percentage of apples from the total apples supplied?

HP
UP
J & K
Cannot be determined

Show solution

The answer to this question is the same as the state which supplied the maximum number of apples.

We can rule out UP and Cold Storage as they supplied significantly less than the other two.
Among the other two states,

The total number of apples supplied by HP is 231,028
The total number of apples supplied by J&K; is 262,735

Hence, the correct answer is J&K;

Passage

Answer the questions based on the following information.

Krishna distributed 10-acre land to Gopal and Ram who paid him the total amount in the ratio 2 : 3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon trees in the ratio 5 : 1 on equal areas of land. There were a total of 100 lemon trees. The cost of one coconut was Rs. 5. The crop took 7 years to mature and when the crop was reaped in 1997, the total revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue generated from the coconut and lemon trees was in the ratio 3 : 2 and it was shared equally by Gopal and Ram as the initial amount spent by them were equal.

Q11.CAT 1998

What was the amount received by Gopal in 1997?

Rs. 1.5 lakh
Rs. 3 lakh
Rs. 6 lakh
None of these

Show solution

Let the amounts paid by Gopal and Ram to Krishna be 2X and 3X.

Gopal invested 2 lakhs additionally.
So, the total amount spent by him is 2X+2.
As the total amounts spent by the two of them are equal, it implies that 2X+2 = 3X or X = 2
Hence, the cost of the land is 2X+3X = 5X = 10 lakhs.
Total investment by the two of them is 10+2 = 12 lakhs

Hence, the total revenue generated is 12*25% = 3 lakhs.
As the revenue is split equally, Gopal's share in the revenue is $3*\frac{1}{2} = 1.5$ lakhs

Passage

Read the following information and answer the questions that follows: Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.

Q12.CAT 1991

The year, at the end of which, Ghosh Babu withdrew the smallest amount was:

First
Second
Third
Fourth

Show solution

Let's say the principal amount is P, Rate is R (i.e. R = 10%)

1st withdrawal = $PR+ \frac{P}{5} = \frac{15P}{50}$

2nd withdrawal = $\frac{4PR}{5}+ \frac{2P}{5}$ = $\frac{24P}{50}$

3rd withdrawal = $\frac{2PR}{5} + \frac{P}{5}$ = $\frac{12P}{50}$

4th withdrawal = $\frac{PR}{5} + \frac{P}{5}$ = $\frac{11P}{50}$

Lowest withdrawal was after the fourth year.

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