alligationmixture.pdf

Alligation/Mixture MATHS By : By: P.K.P.KSir...

Alligation/Mixture MATHS By : By: P.K.P.KSir Sir 1. 16 13.60 much milk is added to the mixture, what will be the new ratio of milk and water in the mixture? 15.20 (A) 14 : 11 (B) 12 : 7 (C) 10 : 19 (D) 19 : 11 6. 20 A trader mixed 13.60/kg wheat with 16/kg wheat 5:3 4 because of which the cost price of mixture became 15.20/ kg, the ratio of both quantities will be – The ratio of milk and water in 20 litre mixture is 5 : 3. If 4 (A) 1 : 2 (B) 11 : 4 litre mixture is replaced with milk, what is the ratio of milk (C) 4 : 11 (D) 2:1 and water in the new mixture? 2. 18.20 24.50 (A) 3 : 2 (B) 5 : 7 (C) 3 : 7 (D) 7 : 3 23 15% 7. 210 In which ratio should 18.20/kg sugar be mixed with 240 5:7 24.50/kg sugar so that profit of 15% is accrued from sell- 273 ing it for 23/kg. (A) 2 : 5 (B) 3:5 Kishan bought two types of tea, one at 210/kg and the (C) 5 : 2 (D) 5:3 other at 240/kg and got them mixed in a ratio of 5 : 7. If 3. 26 he sells the mixture at 273/kg, his profit will be – 34 (A) 10 % (B) 15 % 27 10% (C) 20 % (D) 25 % The ratio of quantities of tea in which 26/kg tea is 8. M N 3:4 mixed with 34/kg tea and the mixture upon being sold for 27/kg. produces 10% loss is– 9:5 M N (A) 2 : 1 (B) 4:1 4:3 (C) 1:1 (D) 1:4 4. 165 7% Milk and water are in the ratio of 3:4 and 4:3 respectively in the mixture of two pots M and N. In what ratio, quan- 18% 12% tities of mixture M and N should be taken to form a mix- 18% ture having milk and water in the ratio of 4 : 3 ? (A) 2 : 1 (B) 1:2 Subodh bought 165 kg tea. He sold some tea at 7% profit and the remaining tea at 18% profit. If he gained 12% (C) 4 : 3 (D) 3:4 profit in this whole transaction, how much tea did he sell 9. 4:5 5:1 to at 18% profit? (A) 75 (B) 65 (C) 50 (D) 45 5:4 5. 24 3 There is a mixture of acid and water in the ratio of 4 : 5 :2 2 and 5 : 1 respectively in two bottles in a laboratory. In what ratio the content of these two bottles should be mixed so that the ratio of acid and water becomes 5 : 4? The ratio of milk and water in 24 litre mixture is respec- (A) 2 : 5 (B) 5:2 tively 3 : 2. If upon with drawing 2 litre from mixture as (C) 3:7 (D) 7:3 10. J K The ratio of spirit and water in two mixtures of 30 litre 5:7 7 : 11 and 44 litre is 2 : 3 and 5 : 6 respectively. Both mixtures are mixed together. The ratio of spirit and water in the new mixture is – L L (A) 12 : 14 (B) 14 : 12 (C) 16 : 21 (D) 21 : 16 J and K are two alloys in which gold and copper are 15. 60 6 mixed in the ratio of 5 : 7 and 7 : 11 respectively. A third alloy L is formed upon melting the same quantities of these two metals. The ratio of gold and copper in alloy L will be – If 6 litre is withdrawn from 60 litre milk and as much water (A) 29 : 43 (B) 43 : 22 is added to it and this process is repeated twice. There- (C) 31 : 41 (D) 41 : 31 fore the remaining amount of milk in the mixture is? 11. A B 11 : 4 (A) 45.6 litre / (B) 48.6 litre / 7:3 C (C) 51.6 litre / (D) 53.6 litre / 16. 100 10 The quantity of acid and water in two pots A and B is in the ratio of 11 : 14 and 7 : 3 respectively. A new mixture is to be formed in pot C upon mixing those two mixtures, Withdrawing 10 litre mixture from a mixture of 100 litre find out the ratio of acid and water in the new mixture – wine and water, as much wine is added to this mixture. (A) 43 : 17 (B) 17 : 43 This process is repeated two times. What will be the (C) 23 : 31 (D) 31 : 23 ratio of wine and water in the new mixture? 12. (A) 81 : 19 (B) 19 : 81 2:3 3:7 4 : 11 (C) 79 : 21 (D) 21 : 79 17. 5 Three container are of equal measurement. The ratio of 7:9 milk and water in the first container is 2 : 3, 3 : 7 in the 2nd pot and 4 : 11 in the third one. If all of them are mixed together, what will be the ratio of milk and water in the Withdrawing 5 litre water from a filled up pot with water, new mixture? wine is added to it. This process is repeated two times and in this way the quantity of wine and water in the (A) 61 : 29 (B) 29 : 61 mixture becomes 7 : 9. What was the quantity of water (C) 31 : 65 (D) 65 : 31 initially? 13. (A) 12 litre / (B) 15 litre / 3:4 5:9 8 : 13 (C) 20 litre / (D) 25 litre / 18. 6 Three container are of equal measurment. The ratio of acid and water in the first container is 3 : 4, 5 : 9 in the 2nd 19 : 8 pot and 8 : 13 in the third one. If all of them are mixed together, what will be the ratio of water and acid in the Withdrawing 6 litre milk from a filled. up pot with milk, new mixture? water is added to it. This process is repeated threee times (A) 7 : 11 (B) 11 : 7 and then the ratio of milk and water in the mixture is (C) 11 : 13 (D) 13 : 11 19 : 8. What was the quantity of milk in the beginning? 14. 30 44 (A) 12 litre / (B) 15 litre / 2:3 5:6 (C) 18 litre / (D) 21 litre / 19. 25% 23. 40 3:5 8:5 The ratio of kerosene and petrol in the mixture of 40 litre Withdrawing 25% milk from a filled up bottle with pure kerosene and petrol is 3 : 5. How many litres of kerosene milks as much water is mixed with in and this process is oil more should be added to make the ratio of kerosene repeated two times, then the quantity of pure milk in the and petrol in the new mixture 8 : 5? pot after the second process will dip to– (A) 20 litre / (B) 22 litre / (A) 51.25 % (B) 53.25 % (C) 24 litre / (D) 25 litre / (C) 56.25 % (D) 59.25 % 24. 8:9 20. 11 5:7 The ratio of copper and zinc in a mixture of copper and zinc is 8 : 9. 11 kg more zinc is added to it because of which the ratio becoems 5 : 7. How much copper was there in the mixture initially? A tank is full of wine. Its half wine is sold and water is added to it. Again half wine is sold and this very process (A) 20 kg / (B) 30 kg / is applied. Third time its half wine is again sold and water (C) 40 kg / (D) 50 kg / is again added to it. What percent of wine will be within 25. 2:3:1 the tank in this situation? 5:4:3 (A) 9.25 % (B) 10.25 % (C) 12.5 % (D) 15.50 % 21. 7 5 2 Zinc, copper and tin in an alloy are in the ratio of 2 : 3 : 1 and copper, tin and lead in another mixtre are in the ratio 21 : 23 of 5 : 4 : 3. If a third alloy is obtained upon taking equal quantity of both alloys, what will be the weight of lead A mixture has 7 part milk and 5 part water. If two litre per kg in the new alloy? more water is added to it, then the ratio of milk & water in 1 3 new mixture becomes 21 : 23. What was the quantity of (A) (B) 2 5 original mixture in litre ? (A) 9 litre / (B) 10 litre / 3 1 (C) (D) (C) 12 litre / (D) 15 litre / 8 8 22. 30% 26. 90 20% 25% 24% 100 A tank of wine has 30% spirit. Some other wine is added A wine seller earns 25% profit while selling wine 90/litre to it upon withdrawing some wine from it. Which has after adding water. If the cost of his pure wine is 100/ 20% spirit. If the tank has now 24% spirit, how many litre, what is the ratio of wine and water in the above parts of wine were withdrawn from the tank? mentioned mixture? 2 3 (A) 13 : 7 (B) 15 : 8 (A) (B) 5 5 (C) 18 : 7 (D) 5:2 1 1 27. A B 5:3 (C) (D) 16 5 10 B 3:5  The ratio of two liquids A and B in a vessel is in 5 : 3. If 16 litre of mixture is withdrawn and as much liquid B is added to the mixture, the new ratio becomes 3 : 5. How much quantity of liquid can be kept in the vessel? (A) 24 litre / (B) 40 litre / (C) 35 litre / (D) 45 litre / 28. A B 4:1 10 10 B 2:3 A The ratio of two liquids A & B in a vessel was in the ratio of 4 : 1. If 10 ltr. of mixture is withdrawn & as much amount of liquid B is added to the mixture, the new ratio becomes 2 : 3. Initially the amount of liquid A in the vessel was? (A) 8 litre / (B) 16 litre / (C) 32 litre / (D) 40 litre /