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SSC CHSL 2024 PYQ — Question 64

SSC CHSL - 04 July 2024 - Shift 4 • Quantitative Aptitude • Q64

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An amount of ₹8,000 was invested for 2 years, partly in scheme 1 at the rate of 5% simple interest per annum and the rest in scheme 2 at the rate of 4% simple interest per annum. The total interest received at the end was ₹720. The amount of money invested in scheme 1 is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. ₹4,000

Simple Interest = (P × R × T)/100

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

Let the amount invested in scheme 1 = x

So, x×5×2100+(8000−x)×4×2100=720\frac{x\times 5\times 2}{100}+\frac{(8000-x)\times 4\times 2}{100}=720

⇒ (10x/100) + (64000 - 8x)/100 = 720

⇒ 10x + 64000 - 8x = 72000

⇒ 2x = 72000 - 64000 = 8000

⇒ x = 4000

Therefore, the amount of money invested in scheme 1 is ₹4,000.