Question : A sum, when invested for 2 years at the rate of 10% per annum at simple interest, amounts to INR 4,800 on maturity. What is the sum invested?
Option 1: INR 3,600
Option 2: INR 4,000
Option 3: INR 3,500
Option 4: INR 4,200
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Correct Answer: INR 4,000
Solution : Amount = INR 4800 Time = 2 years Rate = 10% We know that, Simple interest = amount – principal Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ So, $4800-\text{P}=\frac{\text{P × 10 × 2}}{100}$ [Let the principle be $\text{P}$] ⇒ $24000-\text{5P}=\text{P}$ ⇒ $24000=\text{6P}$ ⇒ $\text{P}=\frac{24000}{6}= 4000$ Hence, the correct answer is INR 4,000.
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Question : A sum invested at a certain rate of interest per annum, compounded annually, amounts to INR 3,600 in 2 years and to INR 6,480 in 4 years. What is the sum invested?
Option 1: INR 2,500
Option 2: INR 2,000
Option 3: INR 2,400
Option 4: INR 3,600
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 3: INR 3,000
Option 4: INR 4,000
Question : A sum of money, invested at a certain rate of simple interest per annum, amounts to INR 720 in 4 years and to INR 800 in 5 years. The sum invested is:
Option 1: INR 400
Option 2: INR 600
Option 3: INR 500
Option 4: INR 360
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 : What is the simple interest on a principal of INR 24,000 for 4 years at the rate of 5% per annum?
Option 1: INR 4,800
Option 2: INR 3,600
Option 3: INR 5,600
Option 4: INR 5,000
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