Maths Compound Interest Exercise2-2
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Q1 Find the amount and the compound interest on ₹ 5000 for 2 years at 6% per annum, interest payable yearly.
Q2 Find the amount and the compound interest on ₹ 8000 for 4 years at 10% per annum interest reckoned yearly.
Q3 If the interest is compounded half yearly, calculate the amount when the principal is ₹ 7400, the rate of interest is 5% and the duration is one year.
Q4 Find the amount and the compound interest on ₹ 5000 at 10% p.a. for 1 ½ years, compound interest reckoned semi-annually.
Q5 Find the amount and the compound interest on ₹ 100000 compounded quarterly for 9 months at the rate of 4% p.a.
Q6 Find the difference between CI and SI on sum of ₹ 4800 for 2 years at 5% per annum payable yearly.
Q7 Find the difference between the simple interest and compound interest on ₹ 2500 for 2 years at 4% per annum, compound interest being reckoned semi-annually.
Q8 Find the amount and the compound interest on ₹ 2000 in 2 years if the rate is 4% for the first year and 3% for the second year.
Q9 Find the compound interest on ₹ 3125 for 3 years if the rates of interest for the first, second and third year are respectively 4%, 5% and 6% per annum.
Q10 What sum of money will amount to ₹ 9261 in 3 years at 5% per annum compound interest?
Q11 What sum invested at 4% per annum compounded semi-annually amounts to ₹ 7803 at the end of one year?
Q12 What sum invested for 1 ½ years compounded half yearly at the rate of 4% p.a. will amount to ₹132651?
Q13 On what sum will the compound interest for 2 years at 4% per annum be ₹ 5712?
Q14 A man invests ₹ 1200 for two years at compound interest. After one year the money amounts to ₹ 1275. Find the interest for the second year correct to the nearest rupee.
Q15 At what rate percent per annum compound interest will ₹ 2304 amount to ₹ 2500 in 2 years?
Q16 A sum compounded annually becomes 25/16 time of itself in two years. Determine the rate of interest per annum.
Q17 At what rate percent will ₹ 2000 amount to ₹ 2315.25 in 3 years at compound interest?
Q18 If ₹ 40000 amounts to ₹ 48620.25 in 2 years, compound interest payable half-yearly, find the rate of interest per annum.
Q19 Determine the rate of interest for a sum that becomes 216/125 times of itself in 1 ½ years, compounded semi-annually.
Q20 At what rate percent p.a. compound interest would ₹ 80000 amounts to ₹ 88200 in two years, interest being compounded yearly. Also find the amount after 3 years at the above rate of compound interest.
Q21 A certain sum amounts to ₹ 5292 in 2 years and to ₹ 5556.60 in 3 years at compound interest. Find the rate and the sum.
Q22 A certain sum amounts to ₹ 798.60 after 3 years and ₹ 878.46 after 4 years. Find the interest rate and the sum.
Q23 In what time will ₹ 15625 amount to ₹ 17576 at 4% per annum compound interest?
Q24 (i) In what time will ₹ 1500 yield ₹ 496.50 as compound interest at 10% per annum compounded annually?
(ii) Find the time (in years) in which ₹ 12500 will produce ₹ 3246.40 as compound interest at 8% per annum, interest compounded annually.
Q25 ₹ 16000 invested at 10% p.a., compounded semi-annually, amounts to ₹ 18522, find the time period of investment.
Q26 What sum will amount to ₹ 2782.50 in 2 years at compound interest, if the rates are 5% and 6% for the successive years?
Q27 A sum of money is invested at compound interest payable annually. The interest in two successive years is ₹ 225 and ₹ 240. Find:
(i) the rate of interest
(ii) the original sum
(iii) the interest earned in the third year.
Q28 On what sum of money will the difference between the compound interest and simple interest for 2 years be equal to ₹ 25 if the rate of interest charged for both is 5% p.a.?
Q29 The difference between the compound interest for a year payable half-yearly and the simple interest on a certain sum of money lent out at 10% for a year is ₹ 15. Find the sum of money lent out.
Q30 The amount at compound interest which is calculated yearly on a certain sum of money is ₹ 1250 in one year and ₹ 1375 after two years. Calculate the rate of interest.
Q31 The simple interest on a certain sum for 3 years is ₹ 225 and the compound interest on the same sum at the same rate for 2 years is ₹ 153. Find the rate of interest and the principal.
Q32 Find the difference between compound interest on ₹ 8000 for 1 ½ years at 10% p.a. when compounded annually and semi-annually.
Q33 A sum of money is lent out at compound interest for two years at 20% p.a., CI being reckoned yearly. If the same sum of money is lent out at compound interest at same rate percent per annum, CI being reckoned half-yearly, it would have fetched ₹ 482 more by way of interest. Calculate the sum of money lent out.
Q34 A sum of money amounts to ₹ 13230 in one year and to ₹ 13891.50 in 1 ½ years at compound interest, compounded semi-annually. Find the sum and the rate of interest per annum.
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