14. Mala borrows 50,000 from Harsha at a simple
interest of 8% per annum. She lends the same
amount to Riddhi at the same rate of interest but
compounded annually. Calculate Mala’s gain or
loss after 2 years.
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Answer:
Principal for the first three year = Rs 50,000
Rate of interest = 6%
Interest for first three years = PRT = 50,000 × (6/100) × 3 = Rs 9,000
Principal amount returned after three years = Rs 17,700/
Principal for the next two years = Rs 50,000 -Rs 17,700 = Rs 32, 300
Interest on this sum for 2 years @ 2% = 32,300 × (6/100) × 2 = Rs 3876
Money needed to be returned at the end of 5th year from the beginning = Remaining Principal + interest of first three years + interest of next two years = Rs 32,300 + Rs 9000 + Rs 3876 = Rs 45,176.
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