641. A man has Rs. 10,000 to invest. He invests Rs. 4000 at 5% and Rs. 3500 at 4%. In order to have a yearly income of Rs. 500, he must invest the remaining Rs. 2500 at what rate of interest?
- A. 6%
- B. 6.4%
- C. 6.2%
- D. 6.3%
Check answer and explanation
Answer: 6.4%
Explanation Investment at 5%: Rs. 4000 x 5% = Rs. 200 per year Investment at 4%: Rs. 3500 x 4% = Rs. 140 per year Total income so far: Rs. 200 + Rs. 140 = Rs. 340 per year Shortfall: Rs. 500 (desired income) - Rs. 340 (current income) = Rs. 160 per year Amount to invest: Rs. 2500 (remaining amount) Rate of interest required: (Rs. 160 / Rs. 2500) x 100% ≈ 6.4% So, the correct answer is: 6.4%