Multiple choice

Jignesh, on his birthday, received some amount of money from his mother. Find the time period in which the ratio of the amount that he received and the interest received on it becomes 10 : 3 at 6% simple rate of interest.

  1. 9 years

  2. 7 years

  3. 5 years

  4. 4 years

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio of Amount (Principal) to Interest = 10:3. Interest = (P * R * T) / 100. 3 = (10 * 6 * T) / 100. 3 = 0.6 * T. T = 3 / 0.6 = 5 years.

AI explanation

The ratio of the principal to the simple interest is given as 10:3, meaning the interest equals 3/10 of the principal. Using the simple interest formula T = (100 * SI) / (P * R), we substitute SI/P with 3/10 to get T = 100 * (3/10) / 6. This simplifies to 30 / 6, which gives a time period of 5 years.