In how many months, at a rate of 6% compound interest per annum, will a sum of ₹1,200 become ₹1,348.32.? 

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RPF Constable 2024 Official Paper (Held On 02 Mar, 2025 Shift 3)
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  1. 24 months
  2. 30 months
  3. 18 months 
  4. 12 months

Answer (Detailed Solution Below)

Option 1 : 24 months
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Detailed Solution

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Given:

Principal (P) = ₹1,200

Amount (A) = ₹1,348.32

Rate of interest (R) = 6% per annum

Formula Used:

Compound Interest Formula: A = P 

Calculation:

We need to find the number of months (n).

Given:

₹1,348.32 = ₹1,200 

⇒ 1.1236 = 

Taking natural logarithm on both sides:

⇒ 

⇒ 

⇒ 

⇒ n = 2 × 12

⇒ n = 24

Hence, the number of months required is 24 months.

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