Multiple choice

Rahul invest Rs. x at simple interest for 4 years and after 4 years he received the total amount of Rs.2x. Suresh invest Rs. x at simple interest for 2 years and Sam invest Rs. x at compound interest for 2 years. All the three persons are investing the same rate of interest. If the total interest received by both Sam and Suresh together is Rs.832 more than the interest received by Rahul? then find the value of x?

  1. 13312

  2. 12890

  3. 13229

  4. 12762

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For Rahul (SI for 4 years to get 2x): Interest = x, so rate r = (x × 100)/(x × 4) = 25%. For Suresh (SI for 2 years): Interest = (x × 25 × 2)/100 = 0.5x. For Sam (CI for 2 years): Interest = x(1.25² - 1)x = 0.5625x. Given: 0.5x + 0.5625x - x = 832, so 0.0625x = 832, giving x = 13312.

Keep practicing — related questions