Question:

Shiva invested a certain sum of money in a simple interest bond whose value grew to Rs.300 at the end of 3 years and to Rs.400 at the end of another 5 years. What was the rate of interest at which he invested his sum?

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In simple interest problems, once you calculate the total interest, use it to find the principal and then calculate the rate using the formula \( \text{Rate} = \frac{\text{Interest}}{\text{Principal}} \times 100 \).
Updated On: Mar 10, 2025
  • 12.5%
  • 12%
  • 6.67%
  • 8.33%
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The Correct Option is D

Solution and Explanation

Step 1: Calculate the Simple Interest for 5 years. \[ \text{S.I. for 5 years} = 400 - 300 = 100 \]

Step 2: Calculate the Simple Interest for 1 year. \[ \text{S.I. for 1 year} = \frac{100}{5} = 20 \]

Step 3: Calculate the Simple Interest for 3 years. \[ \text{S.I. for 3 years} = 20 \times 3 = 60 \]

Step 4: Find the Principal. \[ \text{Principal} = \text{Amount} - \text{Interest} = 300 - 60 = 240 \]

Step 5: Calculate the Rate of Interest. \[ \text{Rate of Interest} = \frac{20}{240} \times 100 = 8.33% \]

Step 6: Final Answer The correct answer is (d) 8.33%. Final Answer: The correct answer is (d) 8.33%.
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