Question : What will be the ratio of the simple interest on 1,000 for 2 years at 5% per annum to the simple interest on the same sum for the same period at 10% per annum?
Option 1: 2 : 1
Option 2: 3 : 1
Option 3: 1 : 2
Option 4: 1 : 3
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Correct Answer: 1 : 2
Solution : Simple interest = $\frac{\text{Principal × Term × Rate}}{100}$ Simple interest on 1,000 for 2 years at 5% per annum = $\frac{1000 × 2 × 5}{100}$ = INR 100 Simple interest on 1,000 for 2 years at 10% per annum = $\frac{1000 × 2 × 10}{100}$ = INR 200 Required ratio = 100 : 200 = 1 : 2 Hence, the correct answer is 1 : 2.
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Question : The simple interest on a certain sum of money for 2 years at 7% per annum is double the compound interest on INR 1,000 for 2 years at 10% per annum, compounded annually. What is the sum placed on simple interest?
Option 1: INR 1,000
Option 2: INR 2,000
Option 3: INR 3,000
Option 4: INR 4,000
Question : The simple interest received on a sum at the rate of 8 percent per annum is $\frac{2}{5}$ of the sum. What is the period?
Option 1: 6 years
Option 2: 5 years
Option 3: 4 years
Option 4: 7.5 years
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 2: 12 years
Option 3: 20 years
Option 4: 8 years
Question : The simple interest on a sum for 5 years is $\frac{3}{5}$th of the sum. The rate of interest per annum is:
Option 1: 10%
Option 2: 12%
Option 3: 8%
Option 4: $12\frac{1}{2}$%
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
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