What will be compound interest (in Rs.) on a sum of Rs. 10,000 at the rate of 5% p.a. after 2 years? 

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MP Mahila Supervisor Official Paper (Held on: 31 Mar, 2017 Shift 1 A)
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  1. 1025
  2. 1560
  3. 1160
  4. 1550

Answer (Detailed Solution Below)

Option 1 : 1025
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Detailed Solution

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Given:

Principal (P) = Rs. 10,000

Rate of interest (R) = 5% per annum

Time (T) = 2 years

Formula Used:

Compound Interest (CI) = P × (1 + R/100)T - P

Calculation:

CI = 10,000 × (1 + 5/100)2 - 10,000

CI = 10,000 × (1 + 0.05)2 - 10,000

CI = 10,000 × (1.05)2 - 10,000

CI = 10,000 × 1.1025 - 10,000

CI = 11,025 - 10,000

CI = 1,025

The compound interest is Rs. 1,025.

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