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A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs 482 more if the interest was payable half yearly than if it was payable annually. Find the sum of money
lent.

1. 15,000
2. 13,000
3. 18,000
4. 20,000

20% वार्षिक चक्रवृद्धि ब्याज पर 2 वर्षों के लिए उधार दी गई एक धनराशि, यदि ब्याज अर्धवार्षिक रूप से देय हो, तो वार्षिक रूप से देय ब्याज की तुलना में 482 रुपये अधिक प्राप्त होगी। उधार दी गई धनराशि ज्ञात कीजिए।

1. 15,000
2. 13,000
3. 18,000
4. 20,000
This Question came in
UGC-NET-MassCom-25-June-2025-Shift-2-Q25
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Detailed Explanation & Answer
Condition 1
Two years CI with 20% per annum rate
Then CI + P = P (1+20/100)^2 = P x 1.44

Condition 2
Two years CI with 10% per half year rate
Then CI + P = P (1+10/100)^4 = P x 1.4641

Given, difference is 482
P×(1.4641−1.44) = 482
Px(0.0241) = 482
P = 482/0.0241 ≈ 20000
शर्त 1
20% वार्षिक दर पर दो वर्षीय चक्रवृद्धि ब्याज
तो चक्रवृद्धि ब्याज + P = P (1+20/100)^2 = P x 1.44

शर्त 2
10% अर्धवार्षिक दर पर दो वर्षीय चक्रवृद्धि ब्याज
तो चक्रवृद्धि ब्याज + P = P (1+10/100)^4 = P x 1.4641

दिया गया है, अंतर 482 है
P×(1.4641−1.44) = 482
Px(0.0241) = 482
P = 482/0.0241 ≈ 20000
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