SSC CGL 2021 PYQ — Question 52

SSC CGL - 18 Aug 2021 - Shift 3 • Quantitative Aptitude • Q52

The income of A is 20% less than the income of B and the income of C is 70% of the sum of incomes of A and B. The income of D is 25% more than the income of C. If the difference between the incomes of B and D is Rs. 23000, then what is the income (in Rs.) of A?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 32000.

Let the income of B = 100x

Income of A becomes = 80% of 100x = 80x

Income of C = 70% of (100x + 80x) = 126x

Income of D = 125% of 126x = 157.5x

According to the question,

⇒ 157.5x - 100x = 23000

⇒ x = 400

Income of A = 80x = 80 × 400 = 32000