In how much time will an amount be tripled, at the rate of 25% per annum simple interest ?

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 31 Aug, 2024 Shift 2)
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  1. 10 years
  2. 8 years
  3. 5 years
  4. 6 years

Answer (Detailed Solution Below)

Option 2 : 8 years
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सामान्य हिंदी सेक्शनल टेस्ट 1
37 Qs. 74 Marks 20 Mins

Detailed Solution

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Given:

Principal (P) = P

Final Amount (A) = 3P

Rate (r) = 25% per annum

Formula used:

Simple Interest (SI) = P × r × t / 100

Final Amount (A) = P + SI

Calculation:

3P = P + (P × 25 × t / 100)

⇒ 3P = P + (P × 25t / 100)

⇒ 3P - P = (P × 25t / 100)

⇒ 2P = (P × 25t / 100)

⇒ 2 = 25t / 100

⇒ 2 × 100 = 25t

⇒ 200 = 25t

⇒ t = 200 / 25

⇒ t = 8 years

∴ The correct answer is option 2.

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