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UGC-NET-Paper1

Maths

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A sum of Rs. 1.0 Lakh is invested for 1 year at an interest rate of 10% per annum compounded half-yearly. The compound interest is

1. Rs. 6150
2. Rs. 10250
3. Rs. 10500
4. Rs. 11000

1.0 लाख रुपये की राशि 1 वर्ष के लिए 10% प्रति वर्ष की दर से अर्धवार्षिक चक्रवृद्धि ब्याज पर निवेश की जाती है। चक्रवृद्धि ब्याज है

1. 6150 रुपये
2. 10250 रुपये
3. 10500 रुपये
4. 11000 रुपये

This Question came in

UGC-NET-HomeSci-08-January-2025-Shift-2-Q39

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Detailed Explanation & Answer

Given:
P = 1,00,000, Rate = 10% per annum, Time = 1 year, Compounded half-yearly

Rate per half-year = 10% ÷ 2 = 5% = 0.05
Number of half-years = 1 × 2 = 2

Using formula:
A = P × (1 + r)^n
A = 1,00,000 × (1.05)^2
A = 1,00,000 × 1.1025
A = 1,10,250

Compound Interest = A - P
= 1,10,250 - 1,00,000
= **Rs. 10,250**

Answer: **(2) Rs. 10,250**

The Correct Answer is 2

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