Question : Sumit lent INR 5000 to Ram for 2 years and INR 8000 to Mayur for 3 years on simple interest at the same rate of interest and received INR 1700 in total from both of them as interest. What is the rate of interest per annum?
Option 1: 8%
Option 2: 4%
Option 3: 5%
Option 4: 10%
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Correct Answer: 5%
Solution : Principal sum, $P_1$ = INR 5000 Term, $n_1$ = 2 years Principal sum, $P_2$ = INR 8000 Term, $n_2$ = 3 years Simple interest, SI = INR 1700 Let $R$ be the rate of interest. SI = $\frac{P_1 × R × n_1}{100} + \frac{P_2 × R × n_2}{100}$ $⇒1700 = \frac{5000 × R × 2}{100} + \frac{8000 × R × 3}{100}$ $⇒170000 = 10000R + 24000R$ $⇒R = \frac{170000}{34000}$ $\therefore R= 5\%$ Hence, the correct answer is 5%.
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Question : A person lends a certain sum of money at the annual rate of 8% on simple interest and the interest received in 9 years is INR 560 less than the sum lent. What is the sum lent?
Option 1: INR 560
Option 2: INR 1,000
Option 3: INR 2,000
Option 4: INR 1,120
Question : Raja borrowed INR 15,000 on simple interest at the rate of 13% per annum and lent it on compound interest at the rate of 15% per annum, compounded annually. What is Raja's gain in two years?
Option 1: INR 1,080.00
Option 2: INR 1,125.00
Option 3: INR 937.50
Option 4: INR 865.50
Question : On a certain sum of money, the simple interest for 2 years is INR 150 at the rate of 10% per annum. What is the difference between compound interest and simple interest for 2 years if, in the case of compound interest, interest is compounded annually at the rate of 10% per annum?
Option 1: INR 5
Option 2: INR 10
Option 3: INR 7.5
Option 4: INR 12.5
Question : At a certain rate of simple interest per annum, a certain sum amounts to INR 24,000 in 7 years and to INR 32,000 in 12 years. What is the rate of simple interest paid per annum?
Option 1: 15%
Option 2: 25%
Option 3: 12.5%
Option 4: 20%
Question : In how many years will the simple interest on a sum of Rs. 6000 lent at 5% per annum be equal to the simple interest on a sum of Rs. 2000 lent for 30 years at 4% per annum?
Option 1: 6 years
Option 2: 12 years
Option 3: 20 years
Option 4: 8 years
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