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

Question : The compound interest on a certain sum invested for 2 years at 10% per annum is INR 1,522.50, the interest being compounded yearly. The sum is:

Option 1: INR 7,250

Option 2: INR 7,200

Option 3: INR 7,500

Option 4: INR 7,000

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 sum amounts to INR 7,656 in 4 years and to INR 8,120 in 5 years at a certain simple interest rate percent per annum. The rate of interest is:

Option 1: 4%

Option 2: 3%

Option 3: 7%

Option 4: 8%

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