Question
A man invested Rs. 't' in scheme 'I' offering simple
interest at 11% for 7 years and Rs. 2,700 in scheme 'J' offering simple interest at 13% for 6 years. If the total interest earned from both schemes is (t + 2,000), then find the total interest earned from scheme 'I'.Solution
ATQ, Simple interest = Sum X rate of interest X time period in years ÷ 100 Interest earned from scheme 'I' = t X 11 X 7 ÷ 100 = Rs. '0.77t' And interest earned from scheme 'J' = 2700 X 13 X 6 ÷ 100 = Rs. 2,106 Or, 0.77t + 2106 = t + 2000 Or, 0.77t = 106 Interest earned from scheme 'I' = 0.77t = Rs. 106
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