Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 3 : ₹1,845 / ₹1,845

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Detailed Solution

सही उत्तर ₹1,845 / ₹1,845 है।

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Question:

A sum of $₹18,000$ is lent at $10\%$ per annum compound interest, interest payable half-yearly, for $1$ year. Find the interest. / $₹18,000$ की राशि $10\%$ वार्षिक चक्रवृद्धि ब्याज पर, अर्धवार्षिक संयोजन सहित, $1$ वर्ष के लिए उधार दी जाती है। ब्याज ज्ञात कीजिए।

1.
₹1,800 / ₹1,800
2.
₹1,890 / ₹1,890
3.
₹1,845 / ₹1,845
4.
₹1,900 / ₹1,900

Correct Answer: ₹1,845 / ₹1,845

Half-yearly rate = $5\%$ for $2$ periods; amount = $18,000 \times 1.05^2 = 19,845$, so interest = $1,845$. / अर्धवार्षिक दर = $5\%$, $2$ अवधियों हेतु; मिश्रधन = $18,000 \times 1.05^2 = 19,845$, अतः ब्याज = $1,845$।

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