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In how many years will Rs.5000 grow to Rs.10000 at 12.5% Simple Interest?

A8 years

B12 years

C20 years

D12 years

Answer:

A. 8 years

Read Explanation:

Here's how to solve this problem:

1. Understand Simple Interest:

  • Simple Interest (SI) is calculated using the formula: SI = (P R T) / 100

    • Where:

      • P = Principal amount

      • R = Rate of interest per annum

      • T = Time period in years

2. Identify the Given Values:

  • Principal (P) = Rs. 5000

  • Amount (A) = Rs. 10000 (This is the final amount, including the principal)

  • Rate (R) = 12.5%

3. Calculate the Simple Interest:

  • Simple Interest (SI) = Amount (A) - Principal (P)

  • SI = Rs. 10000 - Rs. 5000 = Rs. 5000

4. Apply the Simple Interest Formula to Find Time (T):

  • SI = (P R T) / 100

  • 5000 = (5000 x 12.5 x T) / 100

5. Solve for T:

  • 5000 100 = 5000 x 12.5 x T

  • 500000 = 62500 x T

  • T = 500000 / 62500

  • T = 8

Therefore, it will take 8 years for Rs. 5000 to grow to Rs. 10000 at 12.5% simple interest.


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