exam on simple interest and compound interest test 3

1. Rajesh invested 40% of his total amount at 15% per annum, 50% of the rest amount at 10% per annum and the remaining amount at 18% If the interest is calculated on the whole amount what will be effective single annual rate of interest?

2. Praveen marked two different prices of an article One for cash payers and the other for taking it on loan for 6 months. What will be the ratio of two prices If the rate of simple interest is 6 1/4 % per annum.

3. The simple interest on a certain sum at 5% per annum for 6 years is `248 more than the interest on the same amount at 4% per annum for 7 years. What will be the simple interest on the same amount at 3% per annum for 3 years?

4. Abhinav has a total ` 2600 out of which he deposits in bank A and the remaining in bank B. The rate of simple interest given by banks A and B are 5 1/2 % and 7 1/2 % respectively If he has got equal interest from both the banks after a certain time, Find how much he deposited in bank B ?

5. Simple interest on a certain sum for certain time at certain rate is `480. If the principal amount is increased by 20%, time becomes two third of the previous and the rate of interest is changed to 5 3 times, find the interest received now?

6. ` 1900 was divided into two parts and first part was lent out as 8% per annum for 2 years and the second at 4% per annum for 3 years. If the simple interest received in both the conditions is in the ratio 16 : 7, then find the amount lent out at 4% ?

7. The simple interest on a certain sum at 4% per annum for 30 years is ` 120 more than the principal amount. Find the amount?

8. A sum of money becomes Rs.1344 in 3 years and in 7 years it becomes Rs. 1536. What is the principal sum where simple rate of interest is to be charged?

9. What is the sum which gives Rs. 6300 as interest at the rate 7% per annum of simple interest in 7 1 2 years?

10 . In what time will a sum of money doubles itself at the rate 20% per annum (p.a.) simple interest?

11. Rajesh lent Rs. 6000 to Bhuvnesh for 2 years and Rs. 1500 to Pawan for 4 years and received altogether from both Rs. 900 as simple interest. The rate of interest is :

12. What annual payment will discharge a debt of Rs. 580 in 5 years, the rate being 8% p.a.

13. Rajesh borrowed a sumof rupees `6300 from Katrina at the rate 14% per annum and lent out the sum by adding some more money in it to Bhuvnesh at the rate 16%. During the whole transaction from Katrina to Bhuvnesh he earns rupees `618 in 3 years. Find the sum added by Rajesh ?

14. Bhuvnesh borrowed a sum of money from Rajesh atthe rate of 8% per annum simple interest for the first 4 years 10% per annum for the next 6 years and 12% per annum for the period beyond 10 years. If he pays a total of Rs. 12160 as interest only at the end of 15 years, how much money did he borrow?

15. Rajesh borrows Rs. 7000from a bank at S.I. After three years he paid Rs. 3000 to the bank and at the end of 5 years from the date of borrowing he paid Rs. 5450 to the bank to settle the account. Find the rate of interest :

16. What annual income will discharge a debt of Rs. 848 at the rate of 4% per annum in 4 annual equal installments :

17. Rajesh wants to investRs. 18750 in bank account ofhis two sons of 12 years and 14 years respectively in such a way that they will get equal amount at an age of 18 years at the rate of 5% per annum. Find the share of younger son?

18.A money lender finds that due to a fall in the annual rate of interest from 8 % to 7 3 4 %, his yearly income diminishes by Rs. 61.50. His capital is :

19.A certain sum by simple interest by certain fixed rate in 1/4 year becomes 41/40 of itself. Find rate of interest per annum.

20. The sum of money, that will give Re. 1 as interest per day at the rate of 5% per annum simple interest is :