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Rachana Borrowed a Certain Sum at the Rate of 15% per Annum. If She Paid at the End of Two Years Rs 1290 as Interest Compounded Annually, Find the Sum She Borrowed. - Mathematics

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प्रश्न

Rachana borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs 1290 as interest compounded annually, find the sum she borrowed.

योग

उत्तर

Let the money borrowed by Rachana be Rs x.
Then, we have: 
\[CI = P \left( 1 + \frac{R}{100} \right)^n - P\]
\[1, 290 = x\left[ \left( 1 + \frac{15}{100} \right)^2 - 1 \right]\]
\[1, 290 = x\left[ 0 . 3225 \right]\]
\[x = \frac{1, 290}{0 . 3225}\]
\[ = 4, 000\]
Thus, Rachana borrowed Rs 4, 000.

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अध्याय 14: Compound Interest - Exercise 14.3 [पृष्ठ २०]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 14 Compound Interest
Exercise 14.3 | Q 6 | पृष्ठ २०

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