Multiple choice

The simple interest on a sum of money will be Rs. $500$ after $10$ years. If principal is double after $5$ years., the total interest at the end of the $10$ th year will be

  1. Rs. $350$
  2. Rs. $650$
  3. Rs. $500$
  4. Rs. $750$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The original principal earns Rs. 500 in 10 years, so it earns Rs. 250 in the first 5 years. After the principal doubles, the interest rate per year also doubles, giving Rs. 500 in the next 5 years. The total interest is Rs. 250 + Rs. 500 = Rs. 750.

AI explanation

The simple interest for the first 5 years is half of the 10-year interest, which is 500 divided by 2, equaling Rs. 250. When the principal is doubled after 5 years, the new simple interest generated for the remaining 5 years also doubles, becoming Rs. 500. The total interest at the end of the 10th year is the sum of both periods, so 250 plus 500 equals Rs. 750.

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