SSC GD 2023 PYQ — Question 45

SSC GD Constable (English) - 23 Jan 2023 - Shift 1 • Quantitative Aptitude • Q45

John's monthly expenditure is 85% of his monthly salary and Jack's monthly expenditure is 90% of his monthly salary. Their combined expenditure is 88%. If John's monthly salary is Rs 60000, then what is the monthly salary of Jack?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. Rs. 90,000.

Given:

John's monthly expenditure is 85% of his monthly salary = (85/100) × 60000 = 51000

The combined expenditure = (88/100) × (John's salary + Jack's salary)

Calculations:

Let Jack's salary be x.

⇒ 0.88 × (60000 + x) = 51000 + 0.9x

Simplifying the equation:

⇒ 52800 + 0.88x = 51000 + 0.9x

⇒ 0.02x = 1800

⇒ x = 1800/0.02

⇒ x = 90000

Therefore, Jack's monthly salary is Rs 90,000.