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In how many years will ₹50,000 become ₹66,550 at 10% compound interest per annum?

A4

B5

C6

D3

Answer:

D. 3

Read Explanation:

Use the compound interest formula:

Given:

  • Principal, (P = ₹50,000)

  • Amount, (A = ₹66,550)

  • Rate, (r = 10% = 0.10)

So,

66,550=50,000(1.10)n66,550 = 50,000(1.10)^n
66,55050,000=(1.10)n\frac{66,550}{50,000} = (1.10)^n
1.331=(1.10)n1.331 = (1.10)^n

Since,

1.103=1.3311.10^3 = 1.331

Therefore,

n = 3

Answer: 3 years


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