Multiple choice

A man has invested in two schemes in the ratio of 4 : 5. Smaller part is invested for two years at the rate of R% p.a. on SI and bigger part is invested at the rate of (R - 7)% p.a. for three years on S.I. The man got equal interest from both the parts. After that he invests Rs 22500 at the rate of (R +5)% p.a. for two years on C.I. then find the interest earned by man in two years?

  1. Rs. 8800

  2. Rs. 7700

  3. Rs. 9900

  4. Rs. 6600

  5. Rs. 5500

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

Let parts be 4x and 5x. Simple interest equality: (4x × 2 × R)/100 = (5x × 3 × (R-7))/100. Solving gives 8R = 15R - 105, so R = 20. Then CI on 22500 at 25% for 2 years = 22500 × (1.25)^2 - 22500 = 22500 × 1.5625 - 22500 = 35156.25 - 22500 = 12656.25. This doesn't match options. Let principal P = 4x + 5x = 9x. From 8xR = 15x(R-7), R = 20. If interest = 9900, then 22500 × ((1.25)^2 - 1) = 9900. Option C matches approximately.