SarkariPYQ

SSC CHSL 2025 PYQ — Question 62

SSC CHSL - 13 Nov 2025 - Shift 2 • Quantitative Aptitude • Q62

Back to paper

Rohan invests a portion of a total sum of ₹P in Scheme A for 4 years and the remaining amount in Scheme B for 5 years. Scheme A offers a simple interest rate of r% per annum, while Scheme B offers a simple interest rate of (r+2)% per annum. The amount invested in Scheme A is 50% more than the amount invested in Scheme B. If the total interest earned from both schemes is ₹1,920 and the amount invested in Scheme A is ₹2,400, what is the simple interest rate, r?

Show answer & explanation

Correct answer: A

Explanation

Investment in Scheme A = ₹2400 (4 years)
A is 50% greater than B
Total Interest = ₹1920
SI = (P × R × T) / 100
A = 2400
A is 50% greater than B
2400 = 1.5B
B = 2400 / 1.5 = 1600
Interest from Scheme A (SI₁) =2400×r×4100=24×r×4=96r= \frac{2400 \times r \times 4}{100} = 24 \times r \times 4 = 96r
Interest from Scheme B (SI₂) =1600×(r+2)×5100=16×(r+2)×5=80(r+2)=80r+160 = \frac{1600 \times (r + 2) \times 5}{100} = 16 \times (r + 2) \times 5 = 80(r + 2) = 80r + 160
Total Interest
96r + 80(r + 2) = 1920
96r + 80r + 160 = 1920
176r = 1760
r = 10%