Question
1.
2.
3.
4.
Answer (Detailed Solution Below)
Option 3 : ₹6,000 / ₹6,000
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Detailed Solution
सही उत्तर ₹6,000 / ₹6,000 है।
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prepsnap.in • Part -AQuestion:
The excess of compound interest over simple interest on a certain sum for 3 years at $10\%$ p.a. is ₹186. Find the sum. / किसी राशि पर $10\%$ वार्षिक दर से 3 वर्षों में चक्रवृद्धि ब्याज का साधारण ब्याज पर आधिक्य ₹186 है। वह राशि ज्ञात कीजिए।
1.
₹5,000 / ₹5,000
2.
₹5,500 / ₹5,500
3.
₹6,000 / ₹6,000
4.
₹6,200 / ₹6,200
Correct Answer: ₹6,000 / ₹6,000
For 3 years, $\text{CI} - \text{SI} = P\left(\frac{r}{100}\right)^2\left(3 + \frac{r}{100}\right) = P \times 0.01 \times 3.1 = 0.031P$. Thus $P = \frac{186}{0.031} = ₹6,000$. / 3 वर्षों के लिए $\text{CI} - \text{SI} = P\left(\frac{r}{100}\right)^2\left(3 + \frac{r}{100}\right) = P \times 0.01 \times 3.1 = 0.031P$। अतः $P = \frac{186}{0.031} = ₹6,000$।
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