A sum becomes Rs.13,520 in 2 years at 4% per annum compound interest. Then the original sum is :

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  1. Rs. 12,250
  2. Rs. 12,700
  3. Rs. 12,450
  4. Rs. 12,500

Answer (Detailed Solution Below)

Option 4 : Rs. 12,500
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सामान्य हिंदी सेक्शनल टेस्ट 1
37 Qs. 74 Marks 20 Mins

Detailed Solution

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Given:

Rate = 4%

Amount = Rs. 13,520

Formula Used:

For Compound Interest,

A = P{1 + (R/100)}n

where,

P = Principal

CI = Compound interest

R = Rate

n = Time

Calculation:

A = P{1 + (R/100)}2

⇒ 13,520 = P{1 + (4/100)}2

⇒ 13,520 = P{1 + (1/25)}2

⇒ 13,520 = P(26/25)2

⇒ 13,520 = P(676/625)

⇒ P = 13,520 × (625/676)

⇒ P = 12,500

∴ The original sum is Rs. 12,500.

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