Simple and Compound Interest Questions with Solution (Advanced)

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Q1. A person invests a certain amount for 2 years at an interest rate of 20% per annum under compound interest. The same person invests the same amount for 2 years at a 30% interest rate under simple interest. The difference between the compound interest and simple interest after 2  years is ₹896. What is the invested amount?

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Q2. If the difference between the Compound interest (com- pounded annually) and simple interests, on certain sum of money for 2 years at the rate of 4% per annum is Rs. 1.00, then. the sum (in Rs.) is:

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Q3. The difference between the compound and simple interests on a sum for three years at 20% per annum is 800. What is the sum?

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Q4. On a deposit of ₹1,50,000, R gets ₹2,000 as interest on simple rate of interest in a year. How much amount (in ₹) should he deposit to get interest of ₹4,500?

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Q5. A money-lender borrows money at 4% per annum and pays the interest at the end of the year. He lends it at 6% per annum compound interest compounded half yearly and receives the interest at the end of the year.  In this way, he gains Rs. 313.50 a year. The amount of money he  borrows, is :

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Q6. On a certain sum of money, the compound interest for 2 years is Rs. 304.5 and the simple interest for the same period of time is Rs. 290. The rate of interest per annum:

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Q7. The difference between the simple interest and compound interest  (interest is compounded half yearly) on a sum at the rate of 25% per annum for one year is ₹ 4375. What will be the principal?

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Q8. The simple interest on a certain principal amount for 4 years at 10% per annum is half of the compound interest on Rs. 1000 for 2 years at 20% per annum. Find the principal amount

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Q9. If the simple interest for 2 years is Rs. 500 at 10% rate of interest. Find the compound interest for the same time.

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Q10. The simple interest on a sum of Rs. 8,000 at a certain rate percent per annum for 3 years is Rs. 3,600. What will be the amount (in Rs.) of the  same sum after 2 years at the same rate, if the interest is compounded 8- monthly?

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Q11. The simple interest on a certain sum of ₹ P at a rate of r% per annum for 3 years is Rs.11,250 and the compound interest on the same sum for  2 years at the same rate percent p.a. is ₹ 7,650. What is the value of P  and r, respectively?

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Q12. What is the difference between the compound interest and the simple interest on a sum of Rs. 4500 for 3 years at the rate of 8% per annum?

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Q13. The difference between compound interest and simple interest is Rs. 3375 in  2 years and the rate of interest is 15%. Find the principal amount.

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Q14. The simple interest accrued on an amount of Rs. P at the end of 4 years is Rs. 1200. What would be the compound interest accrued on the same amount for the same period if amount on compound interest is Rs. 60  more than the amount on S.I.?

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Q15. The difference between the Compound Interest and Simple Interest on a certain sum at 5% per annum for 2 years is Rs. 981 , find the sum.

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