JIPMAT 2025 (QA) - Three numbers A, B and C are such that A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C? | PYQs + Solutions

JIPMAT 2025

Arithmetic

Percentages

Medium

Three numbers A, B and C are such that A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?

60.50%

64%

62.50%

60%

✅ Correct Option: 3

Given:

\newline

1. A is

40 \%

less than

B

\newline

2. C is

40 \%

of the sum of

A

and

B

We need to find: what percentage of

C

is the difference between

A

and

B

Let's express these relationships mathematically:

\newline

\begin{aligned} & A=0.6 B(\text { since } A \text { is } 40 \% \text { less than } B) \\ & C=0.4(A+B)(\text { since } C \text { is } 40 \% \text { of the sum of } A \text { and } B) \end{aligned}

Substituting

A =0.6 B

into the expression for

C

\newline

C=0.4(0.6 B+B)=0.4(1.6 B)=0.64 B

The difference between

A

and

B

is:

\newline

\mathrm{B}-\mathrm{A}=\mathrm{B}-0.6 \mathrm{~B}=0.4 \mathrm{~B}

As a percentage of C :

\newline

\dfrac{B-A}{C} \times 100 \%=\dfrac{0.4 B}{0.64 B} \times 100 \%=\dfrac{0.4}{0.64} \times 100 \%=\dfrac{5}{8} \times 100 \%=62.5 \%

Therefore, the difference between A and B is

62.5 \%

of C .

\newline

Hence, the correct option is Option 3.

Related questions:

JIPMAT 2021

A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. The number of passengers in the beginning was

JIPMAT 2021

$(\frac{4}{7})$ of a pole is in the mud. When $(\frac{1}{3})$ of it is pulled out, 250 cm of the pole is still in the mud. The length of the pole is

JIPMAT 2021

A man pays 40 times the annual rent to purchase a building. The rate % per annum he derives from his investment is

JIPMAT 2025 (QA) PYQs

Three numbers A, B and C are such that A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?

Keyboard Shortcuts