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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 556 · 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.Rice at ₹57 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  3. 3.Rice at ₹46 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  5. 5.A 40-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?
  6. 6.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  8. 8.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  9. 9.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  10. 10.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  12. 12.A grocer mixes 12 kg of tea at ₹74 per kg with 12 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.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?
  15. 15.Rice at ₹69 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.Rice at ₹71 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 3 kg of tea at ₹32 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  21. 21.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 5 kg of tea at ₹92 per kg with 2 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 5 kg of tea at ₹74 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 40 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?
  26. 26.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  27. 27.A grocer mixes 10 kg of tea at ₹63 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹20 per kg with 11 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  32. 32.Rice at ₹40 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  33. 33.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?
  34. 34.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  35. 35.A jug has 10 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?
  36. 36.Rice at ₹35 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  38. 38.A grocer mixes 7 kg of tea at ₹28 per kg with 11 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 14
  2. 30
  3. 30
  4. 20
  5. 8
  6. 6
  7. 4
  8. 5
  9. 8
  10. 36
  11. 18
  12. 52
  13. 50
  14. 50
  15. 48
  16. 12
  17. 68
  18. 48
  19. 60
  20. 9
  21. 32
  22. 50
  23. 98
  24. 56
  25. 40
  26. 30
  27. 65
  28. 42
  29. 28
  30. 8
  31. 5
  32. 6
  33. 70
  34. 10
  35. 55
  36. 12
  37. 7
  38. 61
  39. 16
  40. 50

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