Question : Sudeep invested $\frac{1}{8}$th of a certain sum at 5% p.a. for two years and $\frac{3}{5}$th of the sum at 6% p.a. for two years and the remaining at 10% p.a. for two years. If the total interest received is INR 1,674, then the total sum invested is:

Option 1: INR 13,000

Option 2: INR 12,000

Option 3: INR 10,500

Option 4: INR 12,500

Question : Two equal sums are lent at 8% and 4% simple interest p.a, respectively at the same time. The first sum is received 2 years earlier than the other and the amount received in each case is INR 14,500. Each sum is:

Option 1: INR 12,800

Option 2: INR 12,500

Option 3: INR 13,200

Option 4: INR 12,000

Question : A person invested a sum of INR 18,600 at $x$% p.a. and another sum that is twice the former at ($x$ + 2)% p.a., both at simple interest. If the total interest earned on both investments for $3 \frac{1}{2}$ years is INR 23,110.50, then the rate of interest p.a. on the second investment is:

Option 1: 11%

Option 2: 12.5%

Option 3: 10.5%

Option 4: 13%

Question : A person invested a sum of INR 10,500 at $x$% per annum at simple interest and a sum of INR 13,500 at $(x + 2)$% p.a. at simple interest. If the total interest earned on both investments for 3 years is INR 7,650, then the rate of interest on the first investment is:

Option 1: 8%

Option 2: 8.5%

Option 3: 9%

Option 4: 9.5%

Question : A certain sum (in INR) is invested at simple interest at y% per annum for $3 \frac{1}{2}$ years. Had it been invested at (y + 4)% per annum at simple interest, it would have fetched INR 4,452 more as interest. What is the sum?

Option 1: INR 42,400

Option 2: INR 31,800

Option 3: INR 30,400

Option 4: INR 42,800

Question : Peter invested a certain sum of money in a scheme paying 10% simple interest per annum, while Rachel invested half of the sum that Peter invested in a scheme paying 10% interest per annum compounded annually. Also, while Peter invested for 2 years, Rachel invested for 3 years. If the difference in the interest earned by Peter and Rachel was INR 897, what was the sum that Rachel had invested?

Option 1: INR 13,000

Option 2: INR 12,900

Option 3: INR 13,100

Option 4: INR 12,960