Class 8 - Mathematics
Comparing Quantities - Exercise 8.3
Top Block 1
Question: 1. Calculate the amount and compound interest on:
(a) Rs.10,800 for 3 years at 121⁄2% per annum compounded annually.
(b) Rs.18,000 for 21⁄2 years at 10% per annum compounded annually.
(c) Rs.62,500 for 11⁄2 years at 8% per annum compounded annually.
(d) Rs.8,000 for 1⁄2 years at 9% per annum compounded half yearly. (You could the year by year calculation using S.I. formula to verify).
(e) Rs.10,000 for 1 years at 8% per annum compounded half yearly.
(a) Rs.10,800 for 3 years at 121⁄2% per annum compounded annually.
(b) Rs.18,000 for 21⁄2 years at 10% per annum compounded annually.
(c) Rs.62,500 for 11⁄2 years at 8% per annum compounded annually.
(d) Rs.8,000 for 1⁄2 years at 9% per annum compounded half yearly. (You could the year by year calculation using S.I. formula to verify).
(e) Rs.10,000 for 1 years at 8% per annum compounded half yearly.
Answer :
Mddle block 1
Question: 2. Kamala borrowed Rs.26,400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
(Hint: Find A for 2 years with interest is compounded yearly and then find SI on the 2nd year amount for 4⁄12 years).
(Hint: Find A for 2 years with interest is compounded yearly and then find SI on the 2nd year amount for 4⁄12 years).
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Question: 3. Fabina borrows Rs.12,500 per annum for 3 years at simple interest and Radhaborrows the same amount for the same time period at 10% per annnum, compounded annually. Who pays more interest and by how much?
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Question: 4. I borrowsRs.12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?
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Question: 5. Vasudevan invested Rs.60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he get:
(i) after 6 months?
(ii) after 1 year?
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Question: 6. Arif took a loan of Rs.80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 11⁄2 years if the interest is:
(i) compounded annually.
(ii) compounded half yearly.
(i) compounded annually.
(ii) compounded half yearly.
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Question: 7. Maria invested Rs.8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find:
(i) The amount credited against her name at the end of the second year.
(ii) The interest for the third year.
(i) The amount credited against her name at the end of the second year.
(ii) The interest for the third year.
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Question: 8. Find the amount and the compound interest on Rs.10,000 for 11⁄2 years at 10% per annum, compounded half yearly.
Would this interest be more than the interest he would get if it was compounded annually?
Would this interest be more than the interest he would get if it was compounded annually?
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Question: 9. Find the amount which Ram will get on Rs.4,096, if he gave it for 18 months at 121⁄2% per annum, interest being compounded half yearly.
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Question: 10. The population of a place increased to 54,000 in 2003 at a rate of 5% per annum.
(i) Find the population in 2001.
(ii) What would be its population in 2005?
(i) Find the population in 2001.
(ii) What would be its population in 2005?
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Question: 11. In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.
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Question: 12. A scooter was bought at Rs.42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.
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