Pattern 03·Foundation·L1

A as a Percentage of B

High FrequencyMust Master 45–60 sec

USE WHEN

Question asks what percent one quantity is of another.

BEST METHOD

Base-100 Method

TARGET

45–60 sec

MASTERY

not started

Recognition Cues

'A is what % of B?'
comparison of one quantity against another
base quantity named after 'of'

How to Recognise

Question asks what percent one quantity is of another.

Core Concept

The denominator is the reference/base quantity mentioned after ‘of’.

A as \% of B = (A/B)\times 100

Athena Shortcut

Before calculating, identify the base in words. ‘A is what % of B?’ → B is the denominator.

Alternative Method · Base-100 Method

Assume the denominator quantity is 100 whenever only the percentage relation is asked.

Timed drill

Identify the base or invariant before you calculate.

1:00

Attempt first · Standard Example

45 is what percentage of 120?

Attempt first · CAT-Level Example

A firm's profit is 18% of revenue and costs are the rest. Profit is what percentage of cost?

Common Trap

18% of revenue does not mean 18% of cost.

3-level practice ladder

Attempt all three before checking solutions

Foundation

72 is what percentage of 90?

CAT Standard

Profit is ₹20 on revenue of ₹100. Profit is what percentage of cost?

Advanced / Hybrid

A is 3/5 of B, and B is 80% of C. A is what percentage of C?

PYQ Mapping

Verified mappingCAT 2021 · Slot 1

cat 2021 slot 1: chocolate-box price-per-gram question uses percentage comparison on changing bases.

Pattern Connections

#04 Percentage Increase / Decrease #05 Reverse Percentage #06 More Than / Less Than

Back to Percentage Blueprint

Pattern 03·Foundation·L1

A as a Percentage of B

High FrequencyMust Master 45–60 sec

USE WHEN

Question asks what percent one quantity is of another.

BEST METHOD

Base-100 Method

TARGET

45–60 sec

MASTERY

not started

Recognition Cues

'A is what % of B?'
comparison of one quantity against another
base quantity named after 'of'

How to Recognise

Question asks what percent one quantity is of another.

Core Concept

The denominator is the reference/base quantity mentioned after ‘of’.

A as \% of B = (A/B)\times 100

Athena Shortcut

Before calculating, identify the base in words. ‘A is what % of B?’ → B is the denominator.

Alternative Method · Base-100 Method

Assume the denominator quantity is 100 whenever only the percentage relation is asked.

Timed drill

Identify the base or invariant before you calculate.

1:00

Attempt first · Standard Example

45 is what percentage of 120?

Attempt first · CAT-Level Example

A firm's profit is 18% of revenue and costs are the rest. Profit is what percentage of cost?

Common Trap

18% of revenue does not mean 18% of cost.

3-level practice ladder

Attempt all three before checking solutions

Foundation

72 is what percentage of 90?

CAT Standard

Profit is ₹20 on revenue of ₹100. Profit is what percentage of cost?

Advanced / Hybrid

A is 3/5 of B, and B is 80% of C. A is what percentage of C?

PYQ Mapping

Verified mappingCAT 2021 · Slot 1

cat 2021 slot 1: chocolate-box price-per-gram question uses percentage comparison on changing bases.

Pattern Connections

#04 Percentage Increase / Decrease #05 Reverse Percentage #06 More Than / Less Than