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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 514 · 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 ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.A 64-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?
  3. 3.A grocer mixes 10 kg of tea at ₹27 per kg with 8 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 20-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?
  5. 5.A 36-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?
  6. 6.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  8. 8.A 18-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?
  9. 9.A grocer mixes 3 kg of tea at ₹77 per kg with 6 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 110-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?
  11. 11.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?
  12. 12.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.Rice at ₹63 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  15. 15.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.A 90-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 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?
  18. 18.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?
  19. 19.A grocer mixes 9 kg of tea at ₹61 per kg with 2 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A grocer mixes 8 kg of tea at ₹39 per kg with 8 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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 40 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 4 kg of tea at ₹40 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.Rice at ₹38 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  28. 28.Rice at ₹40 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A grocer mixes 9 kg of tea at ₹75 per kg with 3 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹68 per kg is mixed with rice at ₹156 per kg to make a mix worth ₹116 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  31. 31.Rice at ₹29 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.A grocer mixes 2 kg of tea at ₹42 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 70-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?
  34. 34.A jug has 25 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?
  35. 35.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A grocer mixes 3 kg of tea at ₹94 per kg with 9 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  40. 40.Rice at ₹65 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?

Answer key

  1. 3
  2. 8
  3. 39
  4. 4
  5. 3
  6. 25
  7. 2
  8. 12
  9. 105
  10. 40
  11. 40
  12. 18
  13. 6
  14. 21
  15. 10
  16. 30
  17. 70
  18. 40
  19. 65
  20. 40
  21. 60
  22. 8
  23. 64
  24. 63
  25. 28
  26. 16
  27. 35
  28. 24
  29. 71
  30. 40
  31. 20
  32. 55
  33. 21
  34. 50
  35. 36
  36. 25
  37. 43
  38. 60
  39. 7
  40. 4

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