Compound Interest Dues Clearance

CMAT 2022 · Quantitative Techniques & Data Interpretation · Medium · Compound Interest

A man borrows Rs 4000 at 15% compound interest. At the end of each year, he pays back Rs 1500. How much additional amount is required to pay at the end of third year to clear all his dues:

  1. A.

    Rs. 775.75

  2. B.

    Rs. 973.85

  3. C.

    Rs. 1500

  4. D.

    Rs. 874.75

Answer

D

Explanation

Year 1 start: Rs 4000. End of Year 1 amount =4000×1.15=4600= 4000 \times 1.15 = 4600. Repays Rs 1500   ⟹  \implies Balance =4600−1500=3100= 4600 - 1500 = 3100. End of Year 2 amount =3100×1.15=3565= 3100 \times 1.15 = 3565. Repays Rs 1500   ⟹  \implies Balance =3565−1500=2065= 3565 - 1500 = 2065. End of Year 3 amount =2065×1.15=2374.75= 2065 \times 1.15 = 2374.75. Repays Rs 1500, so additional amount needed =2374.75−1500=Rs. 874.75= 2374.75 - 1500 = \text{Rs. } 874.75.

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