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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 272 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  2. 2.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.A jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  5. 5.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  6. 6.A grocer mixes 4 kg of tea at ₹107 per kg with 7 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  8. 8.A jug has 40 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹45 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  10. 10.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  11. 11.Rice at ₹54 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  12. 12.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  14. 14.Rice at ₹23 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.Rice at ₹57 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  16. 16.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  17. 17.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  18. 18.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  19. 19.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 7 kg of tea at ₹47 per kg with 7 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  23. 23.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  24. 24.Rice at ₹24 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.A jug has 40 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 10 kg of tea at ₹74 per kg with 10 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  29. 29.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  30. 30.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  32. 32.Rice at ₹26 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A jug has 10 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 2 kg of tea at ₹63 per kg with 4 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.Rice at ₹50 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?

Answer key

  1. 24
  2. 5
  3. 28
  4. 16
  5. 5
  6. 93
  7. 14
  8. 28
  9. 32
  10. 6
  11. 21
  12. 70
  13. 6
  14. 30
  15. 15
  16. 18
  17. 8
  18. 4
  19. 21
  20. 50
  21. 53
  22. 20
  23. 6
  24. 12
  25. 18
  26. 52
  27. 68
  28. 3
  29. 28
  30. 64
  31. 6
  32. 30
  33. 16
  34. 50
  35. 40
  36. 67
  37. 40
  38. 60
  39. 2
  40. 12

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