A sum of ₹ 53,240 is accumulated in 3 years at 10% compound interest (compounded annually ). What is the original amount ?

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  1. ₹60,000
  2. ₹30,000
  3. ₹20,000
  4. ₹40,000

Answer (Detailed Solution Below)

Option 4 : ₹40,000
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Detailed Solution

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Given:

Amount (A) = ₹53,240

Rate (r) = 10%

Time (t) = 3 years

Formula used:

A = P(1 + r/100)t

Where, P = Principal

Calculations:

53240 = P(1 + 10/100)3

⇒ 53240 = P(1.1)3

⇒ 53240 = P × 1.331

⇒ P = 53240 / 1.331

⇒ P = ₹40,000

∴ The correct answer is option (4).

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