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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 536 · 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 12 kg of tea at ₹74 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹49 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  5. 5.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.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?
  8. 8.A jug has 20 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 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  10. 10.A grocer mixes 2 kg of tea at ₹96 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 2 kg of tea at ₹69 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 3 kg of tea at ₹108 per kg with 8 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  15. 15.A grocer mixes 6 kg of tea at ₹98 per kg with 6 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  17. 17.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?
  18. 18.A grocer mixes 3 kg of tea at ₹85 per kg with 11 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  20. 20.Rice at ₹77 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹71 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A 32-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?
  24. 24.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?
  25. 25.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?
  26. 26.A grocer mixes 9 kg of tea at ₹42 per kg with 9 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹41 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A grocer mixes 11 kg of tea at ₹84 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  31. 31.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?
  32. 32.Rice at ₹31 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 40 kg of the dearer rice?
  33. 33.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?
  34. 34.Rice at ₹38 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.A 28-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?
  36. 36.Rice at ₹71 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹115 per kg with 5 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.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 : 5?
  40. 40.Rice at ₹36 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 75
  2. 3
  3. 8
  4. 21
  5. 3
  6. 12
  7. 40
  8. 55
  9. 9
  10. 46
  11. 79
  12. 116
  13. 75
  14. 7
  15. 74
  16. 9
  17. 32
  18. 63
  19. 6
  20. 1
  21. 50
  22. 20
  23. 8
  24. 40
  25. 4
  26. 72
  27. 15
  28. 50
  29. 92
  30. 16
  31. 60
  32. 16
  33. 40
  34. 5
  35. 8
  36. 10
  37. 60
  38. 16
  39. 24
  40. 18

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