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A sum of money becomes 1,331 times in 3 years as compound interest. The rate of interest is- -

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Question

A sum of money becomes 1,331 times in 3 years as compound interest. The rate of interest is-

Options

  • 8%

  • 7.5%

  • 10%

  • 50%

MCQ

Solution

10%

Explanation:

If principal = ₹1000, amount = ₹1331

∴ A = `"P" (1 + "R"/100)^"T"`

⇒ `1331/1000 = (1 + "R"/100)^3`

⇒ `(11/10)^3 = (1 + "R"/100)^3`

⇒ `1 + "R"/100 = 11/10`

⇒ `"R"/100 = 1/10`

⇒ `"R" = 1/10 xx 100`

= 10%

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Simple and Compound Interest (Entrance Exam)
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