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EMI, CAGR & Depreciation · Question 26 of 66

Question 26

HardOriginal question

A loan of ₹60,000 is repaid in 6 monthly instalments by the reducing-balance method, at 12% a year compounded monthly. To the nearest rupee, what is the EMI? (Take (1.01)6=1.0615(1.01)^{6} = 1.0615.)

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. i=0.01i = 0.01, n=6n = 6: E=60,000×0.01×1.06150.0615E = \frac{60{,}000 \times 0.01 \times 1.0615}{0.0615}.

  2. E=636.90.0615≈10,356E = \frac{636.9}{0.0615} \approx 10{,}356 rupees.

Worth noting

₹10,600 is the flat-rate EMI, with 6 months' interest on the whole loan.

Concept
EMI by the reducing-balance method
Typical time
120 s
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The rule this testsEMI by the reducing-balance method
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