Mixed Questions to Practice Simple Interest, Compound Interest, and Profit Loss
Mixed Questions to Practice Simple Interest, Compound Interest, and Profit Loss
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Mixed Questions to Practice Simple Interest, Compound Interest, and Profit LossAmit borrowed Rs. 10000 from Ankit at the simple interest rate. The amount of interest paid back at the end of 5 years is half of the principle amount. Find the rate of interest?A flower shop owner made a bouquet with 80 red roses at the rate of Rs. 37/ rose and 67 lilies at the rate of Rs. 76 per lily. This bouquet was sold at the rate of Rs. 11000. Find the profit or less percentage. Shop A has marked the price of a Jacket at Rs. 7000 and is selling it at a discount of 30%. Shop B has marked the same jacket at Rs. 9000. Find the discount percentage if the selling price in Shop A and shop B are equal.Charlie borrowed Rs. 5000 at 5% interest rate compounded annually for 2 years. Find the difference in the interest amount if he would have took the loan at simple interest.To sell the TV bought at Rs.67000 at 35% profit, at which price should it be sold?If the chocolate bars were bought at the rate of 7 bars at Rs. 63 and sold at the rate of 11 bars at Rs. 121, calculate the profit or loss percentage for 20 bars?Prakhar buys a watch for Rs. 700 and spent Rs. 343 on its repair. If he sold it at a profit of 30%, find the selling price.Calculate the amount payable if Rs. 15000 was borrowed for one year at 5% rate of interest compounded quarterly.The sum of money borrowed by Pranav grows to Rs. 1000 after first year and to Rs. 1400 after 2nd year, at compound interest. Calculate the rate Tom took a loan of Rs. 20000 to invest in a business which will yield a profit of 20%. He took the loan for two year compounded annually at the interest rate of 5% per annum. Will Tom have any money left after paying pack?Answer with explanationInterest = PRT/1005000 = (10000*R* 5)/1005000 = 500RR = 10% Cost Price = (80*37)+(67*76) = 2960+ 5092 = 8052Selling Price = Rs. 11000Profit = 11000- 8052 = Rs. 2948Profit Percentage = (2948/8052)*100 = 36.6% Selling Price at shop A = Selling Price at shop B = 7000 – [(30/100)*7000] = 7000 – 2100 = Rs.49004900 = 9000 – [(x/100)*9000]4900 = 9000 – 90xx = 4100/90 = 45.5%For compound interest A = P(1+r/100)n = 5000 (1+ 5/100)2 = Rs. 5512.5Interest amount = 5512.5 – 5000 = Rs. 512.5For simple InterestInterest = PRT/100 = (5000* 5*2)/100 = Rs. 500Difference = 512.5 – 500 = Rs. 12.5 Required Selling Price = 67000 + (35/100)* 67000 = 67000 + 23450 = Rs. 90450Cost price of one chocolate bar = 63/7 = Rs. 9Selling Price of one chocolate bar = 121/ 11 = Rs.. 11C.P for 20 chocolates = 20* 9 = Rs. 180S.P for 20 chocolates = 20* 11 = Rs. 220Profit Percentage = [(220-180)/180]*100 = 22.2%Total C.P. of watch = 700+ 343 = Rs. 1043Selling Price = 1043 + [(30/100 * 1043] = 1043+ 312.9 = Rs. 1355.9 A = P(1+r/100)n = 15000 (1+ 5/100)4 = Rs. 18232.5 Rate of interest =[(1400- 1000)/1000] *100 = (400/1000) *100 = 40% Total money Tom will receive after the end of 2 years = 20000 + (20/100) * 20000 = 20000 + 4000 = Rs. 24000Money to be paid pack = A = P (1+r/100)n = 20000 (1+ 5/100)2 = Rs. 22050 Money still left with Tom = 24000- 22050 = Rs. 1950 (function( $ ) {
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Aditya Anand
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