Question
Sunil borrowed a certain sum of money from Kanchan under
the following repayment scheme based on simple interest. 10% p.a. for the initial 2 years, 8% p.a. for the next 2 years, 6% p.a. for the next 2 years, 12% p.a. after the first 6 years. Find the amount which a sum of Rs. 8000 taken for 12 years becomes at the end of 12 years?Solution
Principal = Rs. 8,000 Rate of interest for initial 2 years = 10% p.a.
Rate of interest for next 2 years = 8% p.a.
Rate of interest for next 2 years = 6% p.a.
Rate of interest after first 6 years = 12% p.a. Total time = 12 years So, time after first 6 years = 12 β 6 = 6 years Simple Interest for first 2 years = 8000 Γ 10 Γ 2/100 = Rs. 1,600 Simple Interest for next 2 years = 8000 Γ 8 Γ 2/100 = Rs. 1,280 Simple Interest for next 2 years = 8000 Γ 6 Γ 2/100 = Rs. 960 Simple Interest for remaining 6 years = 8000 Γ 12 Γ 6/100 = Rs. 5,760 Total Simple Interest = 1600 + 1280 + 960 + 5760 = Rs. 9,600 Required amount = Principal + Total Simple Interest = 8000 + 9600 = Rs. 17,600
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