SSC CGL 2024 PYQ — Question 56

SSC CGL - 19 Sep 2024 - Shift 1 • Quantitative Aptitude • Q56

Aman invested a sum of money in scheme A at the rate of 8% p.a. for a period of 5 years on simple interest. He invested four times of the sum of scheme A in scheme B at the rate of 5% p.a. for 7 years on simple interest. He received a total interest amount of ₹1,620. How much (in ₹) did he invest in scheme B?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 3,600.

Simple Interest = (P × R × T)/100

Where, P = Principal; R = Rate of interest per annum; T = Total time

Let the amount invested in scheme A be x and the amount invested in scheme B be 4x.

The total interest = ₹1,620

So, x×8×5100+4x×5×7100=1620\frac{x\times 8\times 5}{100}+\frac{4x\times 5\times 7}{100}=1620

⇒ (2x/5) + (7x/5) = 1620

⇒ 9x/5 = 1620

⇒ x = 900

⇒ 4x = 4 × 900 = 3600

Therefore, Aman invested ₹3,600 in scheme B.