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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 405 · 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 4 kg of tea at ₹23 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 40 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.Rice at ₹58 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.Rice at ₹24 per kg is mixed with rice at ₹40 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?
  5. 5.A grocer mixes 12 kg of tea at ₹64 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  7. 7.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  8. 8.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  9. 9.A 70-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?
  10. 10.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  11. 11.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  12. 12.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?
  13. 13.A jug has 40 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?
  14. 14.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?
  15. 15.A grocer mixes 9 kg of tea at ₹29 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 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?
  17. 17.Rice at ₹33 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  18. 18.Rice at ₹72 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  19. 19.Rice at ₹79 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  20. 20.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  21. 21.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  22. 22.Rice at ₹54 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  23. 23.Rice at ₹30 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.A grocer mixes 4 kg of tea at ₹43 per kg with 4 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 9 kg of tea at ₹55 per kg with 9 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 12 kg of tea at ₹25 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.Rice at ₹34 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  29. 29.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?
  30. 30.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  32. 32.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  33. 33.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  34. 34.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  35. 35.A grocer mixes 11 kg of tea at ₹48 per kg with 11 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹70 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  38. 38.A 84-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?
  39. 39.Rice at ₹22 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 28
  2. 36
  3. 42
  4. 8
  5. 57
  6. 9
  7. 9
  8. 6
  9. 7
  10. 40
  11. 12
  12. 52
  13. 60
  14. 55
  15. 28
  16. 70
  17. 8
  18. 35
  19. 12
  20. 4
  21. 32
  22. 14
  23. 8
  24. 56
  25. 40
  26. 35
  27. 50
  28. 4
  29. 40
  30. 4
  31. 12
  32. 4
  33. 2
  34. 8
  35. 44
  36. 18
  37. 28
  38. 21
  39. 30
  40. 80

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