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SSC CPO 2019 PYQ — Question 126

SSC CPO Tier I - 11th December 2019 - Shift 1 • Quantitative Aptitude • Q126

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

Show answer & explanation

Correct answer: C

Explanation

  The correct answer is option 3 i.e. 62.5%

Understanding

Application

A is 40% less than B, and C is C is 40% of the sum of A and B.

So,

A = 0.6B

And

C = 0.4 × (A + B)

C = 0.4 × (0.6B + B)

C = 0.64B

Now,

B – A = 0.4B

Hence,

Required percentage

= [0.4B/0.64B] × 100

= 62.5%