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A certain money is deposited every month for 8 months in a recurring deposit account at 12% p.a. simple interest. If the interest at the time of maturity is ₹ 36, the monthly instalment is ______. - Mathematics

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प्रश्न

A certain money is deposited every month for 8 months in a recurring deposit account at 12% p.a. simple interest. If the interest at the time of maturity is ₹ 36, the monthly instalment is ______.

विकल्प

  • ₹ 200

  • ₹ 1,000

  • ₹ 100

  • ₹ 500

MCQ
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उत्तर

A certain money is deposited every month for 8 months in a recurring deposit account at 12% p.a. simple interest. If the interest at the time of maturity is ₹ 36, the monthly instalment is ₹ 100.

Explanation:

P = ₹ x,

n = 8 months,

R = 12%,

I = 36

We know that

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

`\implies 36 = x xx (8 xx 9)/(2 xx 12) xx 12/100`

`\implies x = 36 xx (2 xx 12)/(8 xx 9) xx 100/12`

= ₹ 100

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