SSC CPO 2024 PYQ — Question 109

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q109

If 40% of A= 60% of B= 16{{1} \over 6} of C, then find the ratio of A : B : C.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 15 : 10 : 36.

Given that

40100\frac{40}{100} × A = 60100\frac{60}{100} × B = 16{{1} \over 6} × C

Let them be equal to LCM( 40 , 60, 1 ) = 120

40100\frac{40}{100} × A = 60100\frac{60}{100} × B = 16{{1} \over 6} × C = 120

Hence, A = 300, B = 200, and C = 720

Hence the ratio A : B : C = 300 : 200 : 720

This can be further implied to

A : B : C = 15 : 10 : 36