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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 169 · 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 ₹36 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.Rice at ₹36 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  3. 3.Rice at ₹56 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A 14-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?
  5. 5.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  6. 6.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  7. 7.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  8. 8.A grocer mixes 9 kg of tea at ₹53 per kg with 9 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 9 kg of tea at ₹82 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 5 kg of tea at ₹44 per kg with 10 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹52 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  12. 12.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?
  13. 13.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  14. 14.A jug has 40 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?
  15. 15.A grocer mixes 8 kg of tea at ₹63 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹25 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  18. 18.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?
  19. 19.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?
  20. 20.A 56-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?
  21. 21.A grocer mixes 2 kg of tea at ₹68 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹38 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?
  23. 23.A grocer mixes 12 kg of tea at ₹89 per kg with 12 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  25. 25.A grocer mixes 2 kg of tea at ₹116 per kg with 2 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  27. 27.A grocer mixes 2 kg of tea at ₹91 per kg with 4 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹55 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  29. 29.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.Rice at ₹36 per kg is mixed with rice at ₹78 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?
  31. 31.Rice at ₹48 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.A 39-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?
  33. 33.A grocer mixes 5 kg of tea at ₹29 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 8 kg of tea at ₹72 per kg with 7 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 56-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?
  36. 36.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  37. 37.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.Rice at ₹60 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.Rice at ₹74 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 1
  2. 12
  3. 10
  4. 4
  5. 30
  6. 6
  7. 2
  8. 55
  9. 58
  10. 90
  11. 7
  12. 25
  13. 4
  14. 20
  15. 74
  16. 32
  17. 8
  18. 70
  19. 40
  20. 8
  21. 87
  22. 2
  23. 95
  24. 8
  25. 99
  26. 18
  27. 67
  28. 16
  29. 20
  30. 8
  31. 4
  32. 3
  33. 49
  34. 93
  35. 7
  36. 5
  37. 6
  38. 4
  39. 4
  40. 40

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