SSC GD 2024 PYQ — Question 50

SSC GD Const (English) - 29 Feb 2024 - Shift 3 • Quantitative Aptitude • Q50

A person lent certain sum of money at the annual rate of 15 percent on simple interest and the interest received in 6 years is Rs. 800 less than the sum lent. What is the sum lent?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. Rs. 8000.

Let the money lent be x

S.I. = (P × R × T)/100

here, S.I. = SImple Interest, R = Rate, P = Principal, and T = Time

(x - 800) = (x × 15 × 6)/100

⇒ 100(x - 800) = x × 90

⇒ 100x - 80000 = 90x

⇒ 100x - 90x = 80000

⇒ 10x = 80000

⇒ x = 8000

Thus, the sum lent was Rs. 8000