SSC CGL 2022 PYQ — Question 72

SSC CGL - 19 April 2022 - Shift 2 • Quantitative Aptitude • Q72

A is 120% of B and B is 65% of C. If the sum of A, B and C is 121.5, then te value of C-2B + A is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 24

A is 120% of B

B is 65% of C

The sum of A, B, and C = 121.5

According to the question -

Let C be 100x.

B is 65% of C = (65% of 100x) = (65/100 × 100x) = 65x

A is 120% of B = (120% of 65x) = (120/100 × 65x) = 78x

The sum of A, B and C = 121.5 = (78x + 65x + 100x)

243/2 = 243x

x = 1/2

The value of A = (78 × 1/2) = 39

The value of B = (65 × 1/2) = 65/2

The value of C = (100 × 1/2) = 50

C - 2B + A = 50 - 2(65/2) + 39 = 89 - 65 = 24