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SSC CHSL 2021 PYQ — Question 68

SSC CHSL - 6 Aug 2021 - Shift 3 • Quantitative Aptitude • Q68

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If the simple interest on a certain sum of money borrowed for 4 years at 9.5% per annum exceeds the simple interest on the same sum for 3 years at 12.5% per annum by 225, then the sum borrowed is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 45,000

Formula Used:

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

Explanation:

Let the sum borrowed be P.

According to the given question,

Interest for 4 years = SI=(P×9.5×4)100SI = { (P \times 9.5 \times 4) \over 100}

Also, interest for 3 years = SI=(P×12.5×3)100SI = { (P \times 12.5 \times 3) \over 100}

Now, (P×9.5×4)100 { (P \times 9.5 \times 4) \over 100} - (P×12.5×3)100{ (P \times 12.5 \times 3) \over 100}= 225

⇒ P100×(38−37.5){P \over 100} \times (38 - 37.5) = 225

⇒ 0.5P = 22500

⇒ P = 45000

Hence the required answer is 45,000.