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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 187 · 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 ₹47 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  2. 2.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 7 kg of tea at ₹118 per kg with 7 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  6. 6.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?
  7. 7.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  8. 8.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?
  9. 9.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?
  10. 10.Rice at ₹59 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  11. 11.A grocer mixes 4 kg of tea at ₹118 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 2 kg of tea at ₹28 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  14. 14.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  15. 15.Rice at ₹32 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  17. 17.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.A grocer mixes 6 kg of tea at ₹110 per kg with 6 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹67 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.A jug has 20 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?
  21. 21.A grocer mixes 6 kg of tea at ₹33 per kg with 12 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹68 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  23. 23.Rice at ₹44 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  24. 24.A grocer mixes 10 kg of tea at ₹109 per kg with 12 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹96 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹32 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.Rice at ₹41 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  29. 29.Rice at ₹53 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.Rice at ₹77 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 3 kg of the dearer rice?
  31. 31.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.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 4 : 5?
  33. 33.A grocer mixes 4 kg of tea at ₹76 per kg with 5 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 77-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  35. 35.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 1 : 1?
  36. 36.A jug has 25 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?
  37. 37.A jug has 20 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?
  38. 38.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 8 kg of tea at ₹83 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?

Answer key

  1. 4
  2. 60
  3. 95
  4. 80
  5. 32
  6. 64
  7. 8
  8. 70
  9. 50
  10. 24
  11. 101
  12. 35
  13. 18
  14. 4
  15. 2
  16. 12
  17. 3
  18. 73
  19. 15
  20. 40
  21. 73
  22. 42
  23. 12
  24. 115
  25. 102
  26. 40
  27. 30
  28. 28
  29. 3
  30. 6
  31. 15
  32. 32
  33. 81
  34. 14
  35. 4
  36. 50
  37. 52
  38. 80
  39. 95
  40. 12

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