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A certain money is deposited in a recurring deposit account for 15 months. If the interest earned for this deposit is one-fifth of the monthly instalment; the rate of interest is ______. - Mathematics

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Question

A certain money is deposited in a recurring deposit account for 15 months. If the interest earned for this deposit is one-fifth of the monthly instalment; the rate of interest is ______.

Options

  • 6%

  • 2%

  • 10%

  • 4%

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Solution

A certain money is deposited in a recurring deposit account for 15 months. If the interest earned for this deposit is one-fifth of the monthly instalment; the rate of interest is 2%.

Explanation:

P = ₹ x,

n = 15 months,

I = `1/5 xx x`

∴ `I = P xx (n(n + 1))/(2 xx 12) xx R/100`

`\implies x/5 = x xx (15 xx 16)/(2 xx 12) xx R/100`

`\implies` R = `x/5 xx (2 xx 12)/(15 xx 16) xx 100/x`

∴ R = 2%

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