SSC CGL 2024 PYQ — Question 75

SSC CGL - 18 Sep 2024 - Shift 1 • Quantitative Aptitude • Q75

A certain sum of money is given at a certain rate of simple interest for 6 years. Had it been given at a 7% higher rate, it would have fetched ₹1,512 more. Find the sum (in ₹).

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 3,600.

We know that,

S.I. = (P × R × T)/100

here, S.I. = Simple Interest, P = principal, R = Rate, and T = Time

Now,

⇒ 1512 = (P × (R + 7) × 6)/100 - (P × R × 6)/100

⇒ 151200 = (P × (R + 7) × 6) - (P × R × 6)

⇒ 151200 = PT(R + 7 - R)

⇒ 151200 = P × 6 × 7

⇒ P = 3600

Thus, The sum of money is ₹3600