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मोहन ने ₹ 5000 के राहत पत्र खरीदे। वे पाँच वर्षों में ₹ 10000 के हो जाएँगे। ब्याज की दर ज्ञात कीजिए यदि ब्याज प्रति छमाही देय हो।

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दिया है,

मूलधन, P = 5,000

अंतिम राशि , A = 10,000

समय अवधि, n = 5

ब्याज की दर, R = ?

प्रश्न के अनुसार, ब्याज अर्धवार्षिक रूप से संयोजित होता है:

\(A = P(1 + \frac R{100})^n\)

\(10000 = 5000(1 + \frac R{100})^5\)

\(\frac{10000}{5000} = (1 + \frac R{100})^5\)

\(2= (1 + \frac R{100})^5\)

\(2^\frac 15= 1 + \frac R{100}\)

\(\frac R {100} = 2^\frac 15 - 1\)

\(\frac R {100} \approx 1.1487 - 1\)

\(R\approx 0.1487 \times 100\)

\(R\approx 14.87 \%\) 

इसलिए, ब्याज की दर (R) लगभग 14.87% होगी।

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