## Comparing QuantitiesExercise 3 1. Calculate the amount and compound interest on (a) Rs 10,800 for 3 years at 12.5% per annum compounded annually. (b) Rs 18,000 for 2.5 years at 10% per annum compounded annually. (c) Rs 62,500 for 1.5 years at 8% per annum compounded half yearly. (d) Rs 8,000 for 1 year at 9% per annum compounded half yearly. (e) Rs 10,000 for 1 year at 8% per annum compounded half yearly. Alternate method: Calculating big multiplication can be tedious. Compound interest can also be calculated by finding yearly amount for each year separately. 1st half year 10000+400=10400 2nd half year 10400+416=10816 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?
Amount after 2nd year 30360 + 4554 = 34914 To make things easier interest can be bifurcated into two parts of 10% and 5% as follows: 1st year 26400 + 2640 + 1320 = 30360 2nd year 30360 + 3036 + 1518 = 34914
Interest for Radha = 16637.50-12500=4137.50 Interest paid by Fabina is Rs. 362.50 more than that paid by radha 4. I borrowed Rs 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?
1st year’s interest = 12000 x 6%=720 Interest on 720 = 720 x 6%=43.20 Extra amount payable = Rs. 43.20
=80000+80000 10%=80000+8000=88000 Interest for the next 6 months = 88000 x 5%=4400 Amount after 1.5 years = 88000+4400 = 92400
Interest after 2 years = 8820-8000=820 (ii) The interest for the 3rd year. Interest for the 3rd year = 8820 x 5%=441 8. Find the amount and the compound interest on Rs 10,000 for 1.5 years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually? Interest = 11576.25-10000=1576.25 This interest would be more than the interest compounded annually, as interest compounded half yearly is always more than compounded annually at the same rate of interest. 9. Find the amount which Ram will get on Rs 4096, if he gave it for 18 months at 12.5% per annum, interest being compounded half yearly.
which can be said to be 48980 in round figures. (ii) what would be its population in 2005?
which is 531616 in round figures
= 42000-42000 x 8% = 42000-3360 = 38640 |