The amount doubles itself under Simple interest in 3 years. In how many years will it become 52 times of itself? 

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UP Police SI (दरोगा) Official PYP (Held On: 12 Nov 2021 Shift 2)
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  1. 157
  2. 155
  3. 153
  4. 151

Answer (Detailed Solution Below)

Option 3 : 153
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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20 Questions 50 Marks 10 Mins

Detailed Solution

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Given:

The amount doubles itself under Simple Interest in 3 years.

Formula used:

Simple Interest (SI) = P × R × T / 100

Total Amount (A) = P + SI

Calculations:

Let the principal amount be P.

In 3 years, the amount doubles, so A = 2P.

SI = A - P = 2P - P = P

P = P × R × 3 / 100

⇒ R = 100 / 3 %

We need to find the time (T) for the amount to become 52 times of itself.

So, A = 52P

SI = A - P = 52P - P = 51P

Using the formula for Simple Interest:

51P = P × (100 / 3) × T / 100

⇒ 51 = (100 / 3) × T / 100

⇒ T = 51 × 3

⇒ T = 153 years

∴ The correct answer is option (3).

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