What is the sum of money that becomes ₹ 4,840 at 10% rate of compound interest (compounded annually) after two years?

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 24th Aug 2024 Shift 2)
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  1. ₹3,400
  2. ₹1,500
  3. ₹4,000
  4. ₹4,500

Answer (Detailed Solution Below)

Option 3 : ₹4,000
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Detailed Solution

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Given:

Amount (A) = ₹4,840

Rate (r) = 10%

Time (t) = 2 years

Formula used:

A = P(1 + r/100)t

Calculations:

4840 = P(1 + 10/100)2

⇒ 4840 = P(1.1)2

⇒ 4840 = P × 1.21

⇒ P = 4840 / 1.21

⇒ P = 4000

∴ The correct answer is option (3).

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