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SSC Selection Post 2022 PYQ — Question 62

SSC Selection Post - Matriculation Level 2022 - 9 Feb 2022 - Shift 1 • Quantitative Aptitude • Q62

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The amount of a certain sum at simple interest at 12.5% p.a. in 5 years is Rs.1,725 more than the simple interest on the same sum at the same rate in 10 years. The sum (in ₹) is:

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 4,600.

SI = PRT100PRT\over100

Amount after 5 years = P + P×12.5×5100{P\times12.5\times5\over100} = P + P×62.5100{P\times62.5\over100} = 162.5P100{162.5P\over100}

Simple Interest for 10 years = P×12.5×10100{P\times12.5\times10\over100} = 125P100{125P\over100}

According to the question,

⇒ 162.5P100{162.5P\over100} - 125P100{125P\over100} = 1725

⇒ 37.5P100{37.5P\over100} = 1725

⇒​​​​​​​ P = 4600