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SSC CPO 2024 PYQ — Question 108

SSC CPO - 29 June 2024 - Shift 1 • Quantitative Aptitude • Q108

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A part of ₹48,500 is invested at a simple interest of 15% per annum. The rest of the money is invested at the rate of 10% simple interest per annum after 2 years of the first investment. The ratio of interest after 5 years from the time when the first amount was invested is 5 : 3. How much is the second part that was invested( in ₹) at the rate of 10% simple interest?

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Correct answer: A

Explanation

The corret answer is option 1 i.e. 29100.

Given that, amount = ₹48,500

SI = P×R×T100{P \times R \times T}\over 100

Let the amount to be invested at 15% interest rate be ₹x.

Remaining amount to be invested at 10% interest rate = 48500 - x

According to the given question,

x×15×5(48500−x)×10×3=53{{x \times 15 \times 5} \over {(48500 - x) \times 10 \times 3}} = {5 \over 3}

⇒ 15x = 10(48500 - x)

⇒ 15x = 485000 - 10x

⇒ 25x = 485000

⇒ x = 19400

Now, amount invested at the rate of 10% = 48500 - x

⇒ 29100

Hence the second part that was invested( in ₹) at the rate of 10% simple interest is 29100.