Question
A sum of money is invested at a simple interest rate of
'R%' per annum. Over 2 years, it grows to ₹7,440, and over 5 years, it increases to ₹9,600. Determine the value of 'R'.Solution
Interest earned in 3 years = 9,600 - 7,440 = Rs. 2,160 Interest earned in 2 years = (2,160/3) X 2 = Rs. 1,440 Sum invested = 7,440 - 1,440 = Rs. 6,000 Now, simple interest = Principal X rate X time ÷ 100 So, 1,440 = 6,000 X R X 2 ÷ 100 Or, 'R' = (1,440/120) = 12 Therefore, value of 'R' is 12.
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