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Savitri borrowed 10000 rupees from a bank for a period of two years at a fixed interest rate of 10% per annum, compounded semi-annually, and paid back 5025 rupees at the end of first year. Then, the…

Question and options

Savitri borrowed 10000 rupees from a bank for a period of two years at a fixed interest rate of 10% per annum, compounded semi-annually, and paid back 5025 rupees at the end of first year. Then, the amount, in rupees, to be paid at the end of second year is __________
  1. 7025
  2. 6600
  3. 6000
  4. 6615

Answer and explanation

Correct answer: D - 6615

The final payment is 66156615 rupees. After two half-year periods and the first payment, the balance is 10000(1.05)2−5025=600010000(1.05)^2-5025=6000 rupees. Two more half-year periods bring it to 6000(1.05)2=66156000(1.05)^2=6615. Applying 10%10\% once to 60006000 gives 66006600 and misses the compounding within the year.

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  • IPMAT Indore

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