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icse 10 maths formula

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Sanjana Kaza
Gitanjali School, Hyderabad
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WORK SHEET-01 COMPOUND INTEREST & RATE OF GROWTH AND DEPRECIATION Q1) The value of machine depreciates by 10% every year. If the value of the machine in 2002 was 90000. Find its value in (i) 2001 (ii) 2004 . (Ans: In 2001: 1,00,000; In 2004: 72900) 1 Q2) Find the Compound Interest to the nearest rupee on 10,800 for 22 years at 10%p.a(Ans: 2921.40) Q3) The difference between C.I and S.I on 9500 for 2 years is 95 at the same rate of interest per year. Find the rate of interest. (Ans: 10% p.a) Q.4) 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. Q.5) On what sum of money will the difference between C.I and S.I be (Ans: 10,000) 1 930 in 12 yrs at 20% p.a compounded half yearly. (Ans: 30,000) Q.6) A sum of money is invested at 10% p.a. compounded half yearly. If the difference of the principals at the end of 6 months and 12 months be 126, then find : (i) the sum of money invested ; (Ans: 2400) 1 (ii) the amount at the end of 12 years; (Ans: 2778.30) Q.7) A certain sum invested at 4% p.a. compounded semiannually amounts to 7803 at the end of one year. Find the sum. This amount is further invested at the same rate compounded semiannually for another one year. Find the C.I received after 2 years. (Ans: 7500; 618.24) Q.8) Find the Compound Interest to the nearest rupee on 1 18,500 for 22 years at 8%p.a(Ans: 3942) Q.9) A certain sum amounts to 5292 in2 years and 5556.60 in 3years at compound interest. Find therate of interest p.a and the sum{Hint: % = }(Ans: 5%; Rs.4800) Q.10) The cost of machine is supposed to depreciate each year at 12% of its value at the beginning Of the year. If the machine is valued at 44000 at the beginning of 2008, find its value: (i) at the beginning of 2009 (ii) at the beginning of 2007. (Ans: 38720; 50000) Q.11) Ashmith borrows 4000 at 5% p.a. for the first year and 6% p.a. for the second year at compound interest. He refunds 2000 at the end of the first year. (i) Find the amount at the end of the first year (Ans: 4200) (ii) How much should he pay at the end of the second year to clear the loan. Calculate the total compound interest. (Ans: 2332; 332) Q.12) The simple interest on a sum of money for 2 years at 4% p.a is 450. Find the compound interest on this sum of money at the same rate for 1 year if the interest is reckoned half-yearly. (Ans: 227.25) Q.13) A man borrowed a certain sum of money and paid it back in two years in two equal installments. If the rate of compound interest was 4% per annum and if he paid back 676 annually. What sum did he borrow. (Ans: 1275) Q.14) A person invests Rs.10000 for two years at a certain rate of interest compounded annually. At the end of one year this sum amounts to Rs. 12000. Calculate the (i). rate of interest per annum. (ii) amount at the end of the second year. (Ans: 20%; 14400) Q.15) Mr.Sanjay borrowed Rs.15,000 for two years. The rate of interest for the two successive years are 8% and 10% respectively. If he repays Rs.6,200 at the end of the first year, find the outstanding amount at the end of the second year. (Ans: 11,000)

 

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