An amount of ₹ 25,000 in 2 years at compound interest compounded annually, if the interest rate for the successive years be 4% and 5% per annum respectively, is:

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 31 Aug, 2024 Shift 2)
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  1. ₹27,300
  2. ₹29,000
  3. ₹26,800
  4. ₹28,000

Answer (Detailed Solution Below)

Option 1 : ₹27,300
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Detailed Solution

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Given:

Principal (P) = ₹25,000

Interest rates: 4% for the 1st year and 5% for the 2nd year

Time (t) = 2 years

Formula used:

Amount for the first year: A1 = P(1 + r1/100)

Amount for the second year: A2 = A1(1 + r2/100)

Calculations:

A1 = 25000(1 + 4/100)

⇒ A1 = 25000 × 1.04

⇒ A1 = 26000

A2 = 26000(1 + 5/100)

⇒ A2 = 26000 × 1.05

⇒ A2 = 27300

∴ The correct answer is option 1.

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