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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 461 · 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.A grocer mixes 8 kg of tea at ₹57 per kg with 2 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 4 kg of tea at ₹22 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹54 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  5. 5.Rice at ₹56 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.Rice at ₹48 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.Rice at ₹75 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  8. 8.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 1 : 1?
  9. 9.A 14-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?
  10. 10.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?
  11. 11.Rice at ₹39 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A grocer mixes 3 kg of tea at ₹25 per kg with 9 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 28-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?
  15. 15.Rice at ₹42 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  17. 17.Rice at ₹72 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹112 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  18. 18.A grocer mixes 11 kg of tea at ₹120 per kg with 11 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A grocer mixes 2 kg of tea at ₹98 per kg with 10 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A jug has 50 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?
  23. 23.Rice at ₹50 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.Rice at ₹57 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  25. 25.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  26. 26.Rice at ₹80 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A grocer mixes 6 kg of tea at ₹78 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹22 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.A grocer mixes 8 kg of tea at ₹119 per kg with 2 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹42 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 24 kg of the dearer rice?
  32. 32.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  33. 33.A grocer mixes 6 kg of tea at ₹91 per kg with 10 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹24 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹42 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.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?
  39. 39.A 32-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?
  40. 40.A grocer mixes 7 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 ₹)?

Answer key

  1. 63
  2. 28
  3. 21
  4. 20
  5. 1
  6. 8
  7. 8
  8. 6
  9. 8
  10. 55
  11. 2
  12. 60
  13. 34
  14. 4
  15. 10
  16. 8
  17. 16
  18. 75
  19. 10
  20. 73
  21. 50
  22. 50
  23. 15
  24. 30
  25. 36
  26. 8
  27. 51
  28. 30
  29. 112
  30. 50
  31. 30
  32. 2
  33. 86
  34. 80
  35. 25
  36. 60
  37. 4
  38. 55
  39. 12
  40. 40

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