SSC CGL 2023 PYQ — Question 17

SSC CGL Tier II - 2 March 2023 - Shift 1 • Quantitative Aptitude • Q17

The ratio of the incomes of two employees is 7 : 4, and the ratio of their expenditures is 3 : 1. If each of them manages to save ₹4,800 per month, find the sum of their monthly incomes (in ₹).

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 21120.

Given that

The income of two employees = 7x and 4x 

The expenditure of two employees = 3y and y 

Savings are equal for both employees = 4800 Rs

we know that 

Income = Expenditure + Savings

According to the question

⇒ 7x - 3y = 4x - y 

⇒ 3x = 2y 

⇒ x/y = 2/3

Hence, 7x - 3y = 7 * 2 - 3 * 3 = 14 - 9 = 5 units = 4800

22 units = 4800 * 22 /5 = 21120 Rs