SSC CGL 2019 PYQ — Question 19

SSC CGL Tier II - Quant 13th Sep. 19 • Quantitative Aptitude • Q19

A, B, C spend 80%, 85% & 75% of their incomes respectively. If their savings are in the ratio  8 : 9 : 20 & the difference between the incomes A & C is 18000, then the income of B is?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 27000

Let the salary of A, B & C be a, b, c respectively.

Saving of A = a(20/100)

Saving of B = b(15/100)

Saving of C = c(25/100)

According to question: 

a(20/100) : b(15/100) : c(25/100) = 8 : 9 : 20

a(1/5) : b(3/20) : c(1/4) = 8 : 9 : 20

a : b : c = 40 : 60 : 80 = 2 : 3 : 4

Let the income of A, B & C be 2x, 3x, 4x

Difference between the incomes of A & C = 18000

2x = 18000

x = 9000

Income of B = 3 × 9000 = 27000