Practice Test

Q1) The fourth proportional to 5, 8, 15 is : Show Answer

Q2) If 0.75 : x :: 5 : 8, then x is equal to : Show Answer

Q3) There are 240 doctors and nurses at a hospital. If the ratio of doctors to nurses is 5 : 7, then the nurses at the hospital are Show Answer

Q4) The ratio compounded of 2:3, 9:4, 5:6 and 8:10 is : Show Answer

Q5) The ratio of number of boys and girls in a school is 2 : 5. if there was 350 students in the school, find the number of girls in the school. Show Answer

Q6) A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 2:3:4. The number of 50 paise coins is : Show Answer

Q7) A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 100 more than D, what is B's share ? Show Answer

Q8) The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is : Show Answer

Q9) The ratio of number of ladies to gents at a party was 1 : 2, but when 2 ladies and 2 gents left, the ratio became 1 : 3. How many people were originally present at the party ? Show Answer

Q10) A man divides his property so that his son's share to his wife's share and wife's share to his daughter's share are both in the ratio 3 : 1. If the daughter gets Rs. 10000 less than the son, find the total worth of the property. Show Answer

Q11) A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is Rs. 35, how many coins of each type are there ? Show Answer

Q12) The salaries of A, B, C are in the ratio 2 : 3 : 5. If the increments of 15 %, 10 % and 20 % are allowed respectively in their salaries, then what will be the new ratio of their salaries ? Show Answer

Q13) In an express train, the passengers travelling inA .C. sleeper class, First class and Sleeper class are in the ratio 1:2:7, and rate of each class is in the ratio 5:4:2. If the total income from this train is Rs. 54000, find the income of Indiana Railways from A.C. sleeper class. Show Answer

Q14) The number which has same ratio to 26 that 6 has to 13 is : Show Answer

Q15) What is the ratio whose terms differ by 40 and the measure of which is 2 / 7 ? Show Answer

Q16) The triplicate ratio of 2 : 3 is : Show Answer

Q17) Divide 56 into two parts such that three times the first part exceeds one third of the second by 48. The parts are : Show Answer

Q18) The average age of three boys in 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is : Show Answer

Q19) The ratio of number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10 % respectively, what will be the new ratio ? Show Answer

Q20) The duplicate ratio of 3 : 4 is : Show Answer

Q21) In a mixture of 45 litres, the ratio of milk and water is 4 : 1. How much water must be added to make the mixture ratio 3 : 2 ? Show Answer

Q22) Mrs X spends Rs 535 in purchasing some shirts and ties for her husband. If shirts cost Rs 43 each and the ties cost Rs. 21 each, then what is the ratio of the shirts to the ties , that are purchased ? Show Answer

Q23) Divide Rs 67 among A, B, C such that if their shares be increased by Rs. 3, Rs. 7 and Rs. 9 respectively, the remainder shall be in the ratio 1 : 2 : 3. Show Answer

Q24) The monthly income of two persons are in the ratio of 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves Rs 50 a month, then what are their monthly incomes ? Show Answer

Q25) Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it ? Show Answer

Q26) Salaries of A, B and C were in the ratio 3 : 5 : 7 respectively. If their salaries were increased by 50 %, 60 % and 50 % respectively, what will be the new ratio of the respective new salaries ? Show Answer

Q27) The mean proportional between 25, 81 is : Show Answer

Q28) The income of A and B are in the ratio 3 : 2 and expenses are in the ratio 5 : 3. If both save Rs. 200, what is the income of A ? Show Answer

Q29) A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be : Show Answer

Q30) The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed.When in a certain month, 540 units are consumed, the bill is Rs. 1800. In another month, 620 units are consumed and the bill is Rs 2040. In yet another month, 500 units are consumed. The bill for that month would be : Show Answer

Q31) A sum of money is to be divided among A, B and C in the ratio 2 : 3 : 7. If the total share of A and B together is Rs. 1500 less than C, what is A's share in it ? Show Answer

Q32) Rs 750 is distributed among, A, B and C such that A's share : B's share = 2:3 and B's share : C's share = 6:5.
The share of A is , Show Answer

Q33) The Binary Ice-cream Shoppers sells two flavours : Vanilla and Chocolate. On Friday, the ratio of Vanilla cones sold to Chocolate cones sold was 2 : 3. If the store had sold 4 more Vanilla cones, then the ratio of Vanilla cones sold to the Chocolate cones sold would have been 3 : 4. How many Vanilla cones did the store sell on Friday ? Show Answer

Q34) The total emoluments of A and B are equal. However, A gets 65 % of his basic salary as allowances and B gets 80 % of his basic salary as allowances. What is the ratio of the basic salaries of A and B ? Show Answer

Q35) At a start of a seminar, the ratio of the number of male participants to the number of female participants was 3 : 1. During the tea break 16 participants left and 6 more female participants registered. The ratio of the male to female participants now became 2 : 1. What was the total number of participants at the start of the seminar ? Show Answer

Q36) The fourth proportional to 4, 6, 8 is : Show Answer

Q37) A contractor employed 25 labourers on a job. He was paid Rs 275 for the work. After retaining 20 % of this sum, he distributed the remaining amount amongst the labourers. If the number of male to female labourers was in the ratio 2 : 3 and their wages in the ratio 5 : 4, what wages did a female labourer get ? Show Answer

Q38) A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that of a brown pair. While preparing the bill, the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50 %. The ratio of the number of black and brown pairs of sock in the original order was : Show Answer

Q39) If the price of 6 toys is Rs 264.37, what will be the approximate price of 5 toys ? Show Answer

Q40) If 18 men working 5 hours a day for 8 days can complete a job, how many men working 8 hours a day for 6 days will be needed ? Show Answer

Q41) 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days ? Show Answer

Q42) If 12 men can build a wall 100 m long, 3 m high, and 0.5 m thick in 25 days, in how many days will 20 men build a wall 60 m X 4 m X 0.25 m. Show Answer

Q43) In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ? Show Answer

Q44) A contract is to be completed in 56 days and 104 men were set to work, each working 8 hours a day. After 30 days, 2/5 of the work is finished. How many additional men may be employed so that work may be completed on time, each man now working 9 hours per day ? Show Answer

Q45) If 8 men or 17 boys can do a piece of work in 26 days, how many days will it take for 4 men and 24 boys to do a piece of work 50 X 0.9 times as great ? Show Answer

Q46) If a certain number of workmen can do a piece of work in 25 hours, in how many hours will another set of an equal number of men, do a piece of work, twice as great, supposing that 2 men of the first set can do as much work in an hour, as 3 men of the second set do in an hour ? Show Answer

Q47) A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. The number of men originally employed were : Show Answer

Q48) Atul and Babita enter a business partnership in which Atul contributes Rs 2000 for 9 months and Babita contributes Rs 5000 for 7 months. A profit of Rs 1100 will be divided between Atul and Babita in the ratio of : Show Answer

Q49) Nirmal and Kapil started a business investing Rs 9000 and Rs 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs 4600, what was Kapil's share in it ? Show Answer

Q50) In a business, A, B and C invested Rs 380, Rs 400 and Rs 420 respectively. Divide a net profit of Rs 180 among the partners. Find the share of profit of A, B and C. Show Answer

Q51) Three men A, B and C together subscribe Rs 4700 for a business. A puts in Rs 700 more than B and B puts in Rs 500 more than C. How much B will receive out of a total profit of Rs 4230 ? Show Answer

Q52) A, B and C enter into a partnership with investments of Rs 3500, Rs 4500 and Rs 5500, respectively. In the first six months, profit is Rs 405. What is A's share in the profit ? Show Answer

Q53) In a partnership between A, B and C, A's capital is Rs 4000. If in a profit of Rs 800. A's share is Rs 200 and C's share is Rs 100, then B's capital is Show Answer

Q54) In a partnership, A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for whole time. Find A's share of total profit of Rs 2300. Show Answer

Q55) A, B and C start a business each investing Rs 20000. After 5 months A withdrew Rs 5000, B withdrew Rs 4000 and C invests Rs 6000 more. At the end of the year, a total profit of Rs 69900 was recorded. Find the share of B. Show Answer

Q56) A is a working partner and B is a sleeping partner in a business. A puts in Rs 50000 and B Rs 60000. A gets 12.5 % of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of A in profit of Rs 8800. Show Answer

Q57) A began business with Rs 12500 and is joined afterwards by B with Rs 37500. When did B join, if the profits at the end of the year are divided equally ? Show Answer

Q58) A began business with Rs 45,000 and was later joined by B with Rs 54,000. When did B join if the profit at the end of the year were divided in the ratio of 2:1 ? Show Answer

Q59) A and B enter into partnership with capitals in the ratio 3:4. At the end of 10 months A withdraws, and the profits now are divided in the ratio of 5:6. Find how long B remained in the business ? Show Answer

Q60) A and B invest Rs 3000 and Rs 4000 in a business respectively. A receives Rs 10 per month out of the profit as a remuneration for running the business and the rest of profit is divided in proportion to the investments. if in a year 'A' totally receives Rs 390, what does B receive ? Show Answer

Q61) A started a business with Rs 4500 and another person B joined after some period with Rs 3000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2 : 1. Show Answer

Q62) A and B entered into a partnership with capitals in the ratio f 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs 760. Find the profit of B. Show Answer

Q63) A and B rent a pasture for 10 months; A puts in 80 cows for 7 months. In how many cows can B put for the remaining 3 months, if he pays half as much again as A ? Show Answer

Q64) In a partnership between X and Y, X's capital is 2/5 of total and is invested for 2/3 year. If his share of the profit is 4/7 of the total, for how long is Y's capital in the business ? Show Answer

Q65) X and Y put in Rs 3000 and Rs 4000 respectively into a business. X reinvests into the business his share of the first year's profit of Rs 2100 whereas Y does not reinvest. In what ratio should they share the second year's profit ? Show Answer

Q66) Three students A, B and C hired a computer for a month. A runs 27 floppy discs for 19 days, B runs 21 for 17 days and C runs 24 for 23 days. If at the end of the month, the rent amounts to Rs 23700, how much rent to be paid by C ? Show Answer

Q67) Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q's. At the end of the year, 20 % profit was earned which was equal to Rs 98000. What was the amount invested by R ? Show Answer

Q68) A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ? Show Answer

Q69) Three partners altogether invested Rs 114000 in a business. At the end of the year, one got Rs 337.50, the second got Rs 1125.00 and the third, Rs 675 as profit. What is the percentage of profit ? Show Answer

Q70) A and B invested in a trade. They earned some profit which they divided in the ratio 2 : 3 of their investment. If A invested Rs 40 then the amount invested by B is : Show Answer

Q71) Gold is 19 times as heavy as water and copper is 9 times heavy. In what ratio must these metals be mixed so that the mixture may be 15 times as heavy as water ? Show Answer

Q72) Six litres of a 20 % solution of alcohol in water are mixed with 4 litres of a 60 % solution of alcohol in water. The % alcoholic strength of the mixture is Show Answer

Q73) A merchant lent out Rs 1000 in two parts, one at 8% and the other at 10% interest. The yearly average comes out to be 9.2 %. Find the amount lent in two parts. Show Answer

Q74) One litre of water was mixed to 3 litres of sugar. Solution containing 4 % of sugar. What is the percentage of sugar in the solution ? Show Answer

Q75) How many kg of salt at 42 paise per kg must a man mix with 25 kg of salt at 24 paise per kg so that he may, on selling the mixture at 40 paise per kg gain 25 % on the outlay ? Show Answer

Q76) A trader mixes 80 kg of tea at Rs 15 per kg with 20 kg tea at cost price of Rs 20 per kg. In order to earn a profit of 25 %, what should be the price of the mixed tea ? Show Answer

Q77) A company blends two varieties of tea from two different tea gardens, one variety costing Rs 20 per kg and other Rs 25 per kg, in the ratio 5 :4. He sells the blended tea at Rs 23 per kg. Find his profit percent : Show Answer

Q78) Alcohol cost Rs 3.50 per litre and kerosene oil cost Rs 2.50 per litre. In what proportion these should be mixed so that the resulting mixture may be Rs 2.75 per litre ? Show Answer

Q79) Pure milk costs Rs 3.60 per litre. A milkman added water to 25 litres of pure milk and sells the mixture at Rs 3 per litre. How many litres of water does he add ? Show Answer

Q80) In what ratio must water be mixed with milk to gain 20 % by selling the mixture at cost price ? Show Answer

Q81) Two liquids are mixed in the proportion of 3 : 2 and the mixture is sold at Rs 11 per kg at a 10 % profit. If the first liquid costs Rs 2 more per kg than the second, what does it cost per litre ? Show Answer

Q82) A chemist has 10 litres of a solution that is 10 per cent nitric acid by volume. He wants to dilute the solution to 4 per cent strength by adding water. How many litres of water must he add ? Show Answer

Q83) The numbers of millilitres of water added to reduce 9 ml of aftershave lotion, containing 50 % alcohol, to a lotion containing 30 % alcohol is Show Answer

Q84) An alloy contains copper and zinc in the ratio 5 : 3 and another alloy contains copper and tin in the ratio 8 : 5. If equal weights of both the alloys are melted together, then the weight of tin in the resulting alloy per kg will be : Show Answer

Q85) A mixture of glycerin and water contains 35 % glycerin by weight. Twenty five grams of water is added to such 100 grams of mixture. What % of glycerin by weight is there in the new mixture ? Show Answer

Q86) The ratio of milk and water in 55 litres of adulterated milk is 7:4. How much water must be added to make the mixture's ratio 7:6 ? Show Answer

Q87) A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7:2 and 7:11 respectively. If equal quantities of the alloys are melted to form a third alloy C, then the ratio of gold and copper in alloy C will be Show Answer

Q88) A cane contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the cane is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the cane initially ? Show Answer

Q89) Sameer bought 10 kg of tea at Rs 45 per kg and 8 kg at Rs 50 per kg. He mixed both the brands and sold it at a total profit of Rs 32. What was the selling price per kg of the mixture ? Show Answer

Q90) Five litres of water is added to a certain quantity of pure milk costing Rs 3 per litre. If by selling the mixture at the same price as before, a profit of 20 % is made, what is the amount of pure milk in the mixture ? Show Answer

Q91) A jar full of whisky contains 40 % alcohol. A part of this whisky is replaced by anothe containing 19 % alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is : Show Answer

Q92) A mixture consists of 15 parts of coffee, purchased at Rs 2.10 per kg and 1 part of chicory, purchased at 98 paise per kg. If it is sold at Rs 2.25 per kg, what profit would be made on the sale of 5 quintals ? Show Answer

Q93) How many litres of pure alcohol must be added to 10 litres of mixture which is 15 % alcohol to make a mixture which will be 25 % alcohol ? Show Answer

Q94) How many kg of custard powder costing Rs 40 kg must be mixed with 16 kg of custard powder costing Rs 55 kg so that 25 % may be gained by selling the mixture at Rs 60 kg ? Show Answer

Q95) From a cask full of milk, 10 litres are taken out of 50 litres and is filled with water. This was done twice. What is the quantity of milk now left in the cask ? Show Answer

Q96) A vessel is fully filled with a special liquid. Four litres of liquid is drawn out of this vessel and is replaced with water. If the ratio of the special liquid to the water becomes 1:2, then what is the capacity of vessel ? Show Answer

Q97) Two equal glasses filled with mixtures of alcohol and water in the proportions of 2:1 and 1:1 respectively were emptied into third glass. What is the proportion of alcohol and water in the third glass ? Show Answer

Q98) A butter stole wine from a sherry which contained 32 % of spirit and then replaced what he stole, by wine containing only 18% spirit. The butt was then of 24 % strength only. How much of the butt had he stolen ? Show Answer

Q99) Three containers A, B and C are having mixtures of milk and water in the ratio 1:5, 3:5 and 5:7, respectively. If the capacities of the containers are in the ratio 5:4:5, then find the ratio of the milk to the water if the mixtures of all the three containers are mixed together. Show Answer

Q100) Tea worth Rs 126 per kg and Rs 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs 153 per kg, then the price of the third variety per kg is : Show Answer

Q101) Several litres of acid were drawn off from a 54 litre vessel, full of acid and equal amount of water was added. Again the same volume of the mixture was drawn off and replaced by water. As a result now, the vessel contained 24 litres of pure acid. How much of the acid was drawn off initially ? Show Answer

Q102) An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B-type petrol. Again when the tank was half empty, it was filled with A type petrol. When the tank was half empty again, it was filled with B-type petrol. What is the percentage of A type petrol at present in the tank ? Show Answer

Q103) How many kilograms of tea powder costing Rs 31 per kg be mixed with thirty six kilograms of tea powder costing Rs 43 per kg, such that the mixture when sold at Rs 44 per kg gives profit of 10 %? Show Answer