Question discussion

A sum becomes 1.69 times of itself in 2 years when invested at compound interest. What is the per annum rate of interest (in percentage)?

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A sum becomes 1.69 times of itself in 2 years when invested at compound interest. What is the per annum rate of interest (in percentage)?
  • A38
  • B34.5
  • C13
  • D30
Answer not set

Discussion 1

0
CCommunity
Let principal be Rs. P

⇒ Compounded Amount = Principal{1 + (rate/100)}time

⇒ 1.69P = P{1 + (rate/100)}2

⇒ 1.69 = {1 + (rate/100)}2

⇒ 1.3 = 1 + (rate/100)

∴ rate = 30%