Question

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2.
3.
4.
Answer (Detailed Solution Below)

Option 4 : $5\%$ / $5\%$

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Detailed Solution

सही उत्तर $5\%$ / $5\%$ है।

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Question:

A sum of Rs 8,000 becomes Rs 9,261 in 3 years at compound interest. Find the rate per annum. / 8,000 रुपये की राशि 3 वर्ष में चक्रवृद्धि ब्याज पर 9,261 रुपये हो जाती है। वार्षिक दर ज्ञात कीजिए।

1.
$4\%$ / $4\%$
2.
$6\%$ / $6\%$
3.
$5.5\%$ / $5.5\%$
4.
$5\%$ / $5\%$

Correct Answer: $5\%$ / $5\%$

$8000\left(1 + \dfrac{r}{100}\right)^3 = 9261$, so $\left(1 + \dfrac{r}{100}\right)^3 = \dfrac{9261}{8000} = \left(\dfrac{21}{20}\right)^3$, giving $r = 5$. / $8000\left(1 + \dfrac{r}{100}\right)^3 = 9261$, अतः $\left(1 + \dfrac{r}{100}\right)^3 = \dfrac{9261}{8000} = \left(\dfrac{21}{20}\right)^3$, जिससे $r = 5$।

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