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CAT 2018 [SLOT 1] Quant Question with Solution 30

Question:
John borrowed Rs. 2,10,000 from a bank at an interest rate of 10% per annum, compounded annually. The loan was repaid in two equal instalments, the first after one year and the second after another year. The ?rst instalment was interest of one year plus part of the principal amount, while the second was the rest of the principal amount plus due interest thereon. Then each instalment, in Rs., is

Show Answer
Correct Answer: 121000
Let each instalment be ₹x. Equating the present value of both the instalments to the money borrowed,
$\frac{x}{1.1}+\frac{x}{1.1^{2}}=210000$
x=121000

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