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A man borrowed Rs.50,000 from a bank at 10% per annum, compounded annually. At the end of every year, he pays Rs.15,000
as part payment of the loan and interest. How much does he still owe to the bank after three such instalments?
Rs.16,900
Rs.15,800
Rs.15,200
Rs.16,200
To determine how much the man owes the bank after three instalments, let's calculate each year:
- Year 1:
- Initial loan: Rs. 50,000
- Interest for the year: 10% of Rs. 50,000 = Rs. 5,000
- Total amount owed by year-end: Rs. 50,000 + Rs. 5,000 = Rs. 55,000
- Payment made: Rs. 15,000
- Remaining balance: Rs. 55,000 - Rs. 15,000 = Rs. 40,000
- Year 2:
- Interest for the year: 10% of Rs. 40,000 = Rs. 4,000
- Total amount owed by year-end: Rs. 40,000 + Rs. 4,000 = Rs. 44,000
- Remaining balance: Rs. 44,000 - Rs. 15,000 = Rs. 29,000
- Year 3:
- Interest for the year: 10% of Rs. 29,000 = Rs. 2,900
- Total amount owed by year-end: Rs. 29,000 + Rs. 2,900 = Rs. 31,900
- Remaining balance: Rs. 31,900 - Rs. 15,000 = Rs. 16,900
- Option 1: Rs. 16,900 is the correct answer.
.
By: santosh ProfileResourcesReport error
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