Telangana SCERT Solution Class VIII (8) Math Chapter 5 Comparing quantities using Proportion Exercise 5.3
(1) Sudhakar borrows ₹15000 from a bank to renovate his house. He borrows the money at 9% p.a. simple interest over 8 years. What are his monthly repayments?
(2) A TV was bought at a price of ₹21000. After 1 year the value of the TV was depreciated by 5% (Depreciation means reduction of the value due to use and age of the item). Find the value of the TV after 1 year.
(3) Find the amount and the compound interest on ₹8000 at 5% per annum, for 2 years compounded annually.
(4) Find the amount and the compound interest on ₹6500 for 2 years, compounded annually, the rate of interest being 5% per annum during the first year and 6% per annum during the second year.
(5) Prathibha borrows ₹47000 from a finance company to buy her first car. The rate of simple interest is 17% and she borrows the money over a 5 year period. Find: (a) How much amount Prathibha should repay the finance company at the end of five years. (b) her equal monthly repayments
(6) The population of Hyderabad was 68,09,000 in the year 2011. If it increases at the rate of 4.7% per annum. What will be the population at the end of the year 2015.
(7) Find Compound interest paid when a sum of ₹10000 is invested for 1 year and 3 months at 8 1/2 % per annum compounded annually.
(8) Arif took a loan of ₹80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 1 1/2 years, if the interest is compounded annually and compounded half yearly.
(9) I borrowed ₹12000 from Prasad at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compounded annually, what extra amount would I have to pay?
(10) 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
(11) Kamala borrowed ₹26400 from a bank to buy a scooter at a rate of 15% per annum compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
(12) Bharathi borrows an amount of ₹12500 at 12% per annum for 3 years at a simple interest and Madhuri borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?
(13) Machinery worth ₹10000 depreciated by 5%. Find its value after 1 year
(14) Find the population of a city after 2 years which is at present 12 lakh, if the rate of increase is 4%.
(15) Calculate compound interest on ₹1000 over a period of 1 year at 10% per annum, if interest is compounded quarterly?