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A person takes loan of Rs. 1,50,000 at a compound interest rate of 10% per annum. If the loan is repaid at the end of the 3rd year, what is the total
Question

A person takes loan of Rs. 1,50,000 at a compound interest rate of 10% per annum. If the loan is repaid at the end of the 3rd year, what is the total interest paid?

A.

145000

B.

82600

C.

94600

D.

49650

Correct option is D

Given:

  • Principal = Rs. 1,50,000.
  • Rate = 10% per annum.
  • Time = 3 years.

Formula:
Compound Interest = Principal × [(1 + r)t - 1], where r = rate and t = time.

Solution:

  1. Calculate the total amount to be paid:
    A = 1,50,000 × (1 + 0.1)3
    A = 1,50,000 × (1.1)3
    A = 1,50,000 × 1.331 = Rs. 1,99,650
  2. Total interest = Amount - Principal:
    Interest = 1,99,650 - 1,50,000 = Rs. 49,650

Final Answer: (d) 49,650

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