Question : The difference in simple interest on a certain sum at 6% per annum for 5 years and 5% per annum for 4 years is Rs. 422. Find the sum
Option 1: Rs. 2570
Option 2: Rs. 4220
Option 3: Rs. 6500
Option 4: Rs. 1990
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Correct Answer: Rs. 4220
Solution : Let the principal be $x$. Rate = 6% for 1st case and 5% for 2nd case Time = 5 years for 1st case and 4 years for 2nd case. Difference = Rs. 422. According to the question, Difference in simple interest = $\frac{\text{Principal × Rate × Time}}{100}-\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $422 = \frac{x\times6\times5}{100}-\frac{x\times5\times4}{100}$ ⇒ $422 = \frac{30x}{100}-\frac{20x}{100}$ ⇒ $422 = \frac{10x}{100}$ ⇒ $x=4220$ Hence, the correct answer is Rs. 4220.
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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
Question : Rohan borrows a certain sum at simple interest. The rate of interest is 3 percent per annum for the first 3 years, 4 percent per annum for the next 5 years, and 6 percent per annum for the next 7 years. If he paid Rs. 2485 as interest, then what is the sum borrowed?
Option 1: Rs. 2500
Option 2: Rs. 3500
Option 3: Rs. 4000
Option 4: Rs. 3600
Question : The difference between compound interest and simple interest on a sum at 20% per annum for two years is Rs. 420. Find the sum (in Rs.).
Option 1: Rs. 8,000
Option 2: Rs. 10,500
Option 3: Rs. 9,000
Option 4: Rs. 11,000
Question : The simple interest on a sum for 5 years is Rs. 7,590. The rate of interest for the first 3 years is 6 percent per annum and for the next 2 years is 14 percent per annum. What is the sum?
Option 1: Rs. 17,000
Option 2: Rs. 15,000
Option 3: Rs. 14,000
Option 4: Rs. 16,500
Question : The difference between simple interest and compound interest on a certain sum of money in 2 years at 3% per annum is 90 paise. What is the sum?
Option 1: Rs. 9000
Option 2: Rs. 5000
Option 3: Rs. 3000
Option 4: Rs. 1000
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