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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 53 · 40 questions
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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 grocer mixes 6 kg of tea at ₹59 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  3. 3.Rice at ₹52 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.A grocer mixes 9 kg of tea at ₹32 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 63-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?
  6. 6.A 25-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?
  7. 7.A grocer mixes 11 kg of tea at ₹38 per kg with 11 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  9. 9.A 15-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?
  10. 10.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?
  11. 11.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 7 : 6?
  12. 12.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.A grocer mixes 12 kg of tea at ₹91 per kg with 8 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 12 kg of tea at ₹79 per kg with 6 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A grocer mixes 2 kg of tea at ₹47 per kg with 6 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 20% mango juice. 20 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 ₹74 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹56 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 6 kg of tea at ₹86 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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 : 4?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹68 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.Rice at ₹74 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.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?
  28. 28.A grocer mixes 9 kg of tea at ₹85 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹32 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  30. 30.A grocer mixes 8 kg of tea at ₹114 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.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?
  33. 33.A grocer mixes 2 kg of tea at ₹86 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 2 kg of tea at ₹116 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 20 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?
  36. 36.A grocer mixes 3 kg of tea at ₹96 per kg with 10 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  38. 38.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  39. 39.A grocer mixes 3 kg of tea at ₹75 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 48
  2. 3
  3. 5
  4. 30
  5. 36
  6. 15
  7. 79
  8. 27
  9. 5
  10. 70
  11. 27
  12. 30
  13. 75
  14. 80
  15. 64
  16. 71
  17. 60
  18. 47
  19. 6
  20. 78
  21. 5
  22. 1
  23. 45
  24. 9
  25. 3
  26. 5
  27. 60
  28. 63
  29. 40
  30. 99
  31. 8
  32. 55
  33. 41
  34. 68
  35. 50
  36. 66
  37. 6
  38. 8
  39. 57
  40. 50

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