Multiple choice

A sum of money becomes Rs. 3,706 at 3% SI after 3 years. The same sum of money becomes Rs. 4,318 at the same interest after 9 years. Find the sum.

  1. Rs. 3,200

  2. Rs. 3,300

  3. Rs. 3,400

  4. Rs. 3,500

  5. Rs. 3,600
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

SI for 6 years (9-3) = 4318 - 3706 = 612. SI for 3 years = 306. Principal = 3706 - 306 = 3400.

AI explanation

The interest earned over the additional six years between the three-year amount and the nine-year amount is the difference between the final amounts, which is 4318 minus 3706, equaling Rs. 612. The simple interest earned per year is 612 divided by 6, giving Rs. 102. The interest for the first three years is 3 times 102, which is Rs. 306. Subtracting this from the three-year amount gives the principal of 3706 minus 306, resulting in Rs. 3400.

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