Compact Questions (Simple Interest)

1) If the SI on a certain sum of money for 3 years at the rate of 12.5% is ₹3500 less than its principal. Find the sum and SI.                        5600, 2100 

2) If the SI on a certain sum money @ 20/3% per annum for 4 years is ₹4400 less than its principal. Find the SI and principal .                6000, 1600

3) The rate of SI for 1st 3 years is 6%, for next 4 years it is 7%, and the period beyond 7 years it is 7.5% per annum. If a man invest ₹18800 for 11 years, find the SI earned by him ?                   ₹14288

4) The rate of SI on a certain sum of money is 4% per annum for 1st 2 year. 6% per annum for next 4 years, and 8% per annum for the period beyond 6 years. If the simple interest earned by a sum is ₹1120 in 9 years, find the sum.    20000

5) A bicycle can be purchased on cash payment of ₹1500. But the same cycle can also be purchased on the cash down payment of ₹350 and rest can be paid in 3 equal annual installment of ₹400 for next 3 years. Find the rate of SI.    80/3%

6) The cash price of apen is ₹60. But it can also be purchased on a cash down payment of ₹20 and 6 monthly equal installment @ the rate of ₹8 per month. Find the rate percent.                80%

7) The cash price of a pen is ₹10. But it can also be purchased on 11 monthly equal installment of ₹1each. Find the rate of simple interest ?              140/11%

8) A man borrowed a sum of ₹7000 from bank at SI, after 3 years he paid ₹3000 to the bank and @ the end of the 5 years he paid ₹5450 and clear all his dues. Find the rate% ?                                      5%

9) A man borrowed a sum of ₹6000 from Bank at simple interest. After 4 years he paid ₹2500. and at the end of 5th year he paid ₹4550 and clear all his dues. Find the rate of simple interest .        42/11%

10) A man lent out 2 equal sums in two parts at the rate 8% and 7% per annum on SI. If the former is recovered 6 months earlier than the later, and he received equal amount of ₹2500 each from both the parts. Find the principal.   2000

11) Ram borrow a sum of ₹6300 from Sita at the rate of 14% per annum for 3 years. He added some more money in it and lent it to Geeta at 16% per annum for 3 years. In this process he earns a total profit of ₹618. Find how much amount does he added ?                        ₹500

12) If a certain sum of money becomes 8 times of itself in 3 years. In how much time it will be 64 times of itself.        27

13) A certain sum of money becomes double of itsself in 6 yrs SI. In what time it will be 10 times of itself.            54yrs

14) A certain sum @ certain rate percent per annum simple interest becomes ₹2100 in two years and Rs 2250 in 5 years. Find the principal and the rate%.  5/2%

15) If a certain sum of money invested for a certain time it amounts to ₹350 @ 5% per annum , and its amount to ₹253 @ 3% per annum. Find the time and the principle ?                                50yrs

16) If a certain sum of money amounts ₹10000 in 5 years and ₹10800 in 7 years at a certain rate of interest. Find the rate % ?                           5%

17) A man deposit a total amount of 65000 in three banks A, B and C are the rate of simple interest 12%, 16% and 18% respectively, and earns total SI if ₹10180 in 1 year. If the amount invested in bank A was 500/7% of amount invest in bank C. Find the amount invested in bank B.  21000

18) A man invested a certain sum of ₹80000 in three banks A, B, C @ 15%, 16% and 27%. Amount invested in bank A is 20% of the amount invested in C Find the amount invested in bank B if he earns a interest of ₹36400 SI in two years.                             20000

19) ₹26000 is invested in two parts in such a way that the SI from first part @ 10% per annum for 5 years is equal the simple interest on second part @ 9% per annum for 6yrs. Find both the parts.    12500

20) ₹12600 is invested in three parts in such a way that SI on first @ 2% per annum for 3 years is equal to SI on second part @ 3% per annum for 4 yrs is equal to SI on 3rd part @ 4% per annum for 5 years are equal. Find the SI on each part.                                       420

21) ₹18750 is invested by a man in the bank account of his two sons whose ages are12yrs, 14 years in such you that they will get equal amount at an age of 18 yrs @ 5% per annum?
Find the share of younger child.      9000

22) A person invest money in 3 different scheme for 6 years ,10 years, 12 years @ 10%, 12%, 15% SI respectively. At the completion of each scheme he gets the same interest, find the ratio of his investment.                           6:3:2

23) If ₹64 amount to ₹83.20 in 2 years. What will ₹86 amounts to in 4 years @ the same rate percent per annum.  137.6

24) A man borrowed a total amount of ₹30000, A part of it on SI @ 12% per annum & remaining on SI @ 10% p.a. If at end of 2nd year, he paid in all ₹36480 to settle the loan amount. What was amount borrowed at 12% per annum .  12000

25) A moneylender found that due to a decrease in the rate from 13% to 25/2%, his yearly income reduced by ₹104. What is this capital ?                    20800


*** Annual income/Payment/Installment = (Due debt x 100){100t + (r. t(t-1))/2


26) What annual payment will discharge a debt of ₹944 in 4 annual equal installments at the rate of 12% p.a on SI.    ₹200

27) What annual installment will discharge a debt of ₹2210 due in 4 years @ 7% simple interest.                  500

28) The annual payment of ₹700 in 5 years @ 10% p a SI will discharge a debt of what amount.                  4200

True Discount

29) Find the present worth and true discount recurring 5% p.a SI of ₹10000 due in 5 years.                               ₹2000

30) Find the present worth of ₹9950 due 13/4 years, hent @ 15/2% p a SI. Also find the true discount.                 1950

31) Find the difference between True discount and SI on ₹2400 due after 5 years @ 4% p.a.                    ₹80

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