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SSC MTS 2024 PYQ — Question 11

SSC MTS - 30/09/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q11

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Rohan deposited ₹500 for 2 years, ₹650 for 4 years, and ₹1,300 for 6 years, at the same rate of interest. He received the total simple interest of ₹1,140. What is the rate of interest per annum?

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 10%.

Let rate = R% per annum

SI = P×R×T100P×R×T\over100 

According to the question,

⇒ 1140 = 500×R×2100500×R×2\over100 + 650×R×4100650×R×4\over100 + 1300×R×61001300×R×6\over100

⇒ 1140 = 1000R+2600R+7800R1001000R+2600R+7800R\over100

⇒ 11400R = 114000

⇒ R = 10%