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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 299 · 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 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  2. 2.A grocer mixes 9 kg of tea at ₹63 per kg with 9 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹26 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  5. 5.A grocer mixes 7 kg of tea at ₹48 per kg with 12 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 8 kg of tea at ₹85 per kg with 4 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 8 kg of tea at ₹75 per kg with 9 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 9 kg of tea at ₹60 per kg with 7 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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 : 9?
  10. 10.Rice at ₹63 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.Rice at ₹71 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.Rice at ₹22 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.A grocer mixes 12 kg of tea at ₹68 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹53 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  15. 15.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 : 4?
  16. 16.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  17. 17.Rice at ₹43 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.Rice at ₹58 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  19. 19.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  21. 21.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.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?
  23. 23.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  24. 24.Rice at ₹76 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.A 56-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?
  26. 26.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  27. 27.A grocer mixes 2 kg of tea at ₹67 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 12 kg of tea at ₹23 per kg with 3 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 42-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?
  30. 30.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  31. 31.A 24-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?
  32. 32.Rice at ₹67 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  33. 33.A grocer mixes 10 kg of tea at ₹112 per kg with 5 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹75 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  37. 37.A grocer mixes 6 kg of tea at ₹74 per kg with 11 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹53 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A grocer mixes 3 kg of tea at ₹100 per kg with 12 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 4
  2. 91
  3. 15
  4. 10
  5. 72
  6. 77
  7. 66
  8. 74
  9. 14
  10. 5
  11. 24
  12. 14
  13. 63
  14. 7
  15. 12
  16. 10
  17. 2
  18. 7
  19. 40
  20. 10
  21. 50
  22. 75
  23. 5
  24. 8
  25. 21
  26. 12
  27. 55
  28. 32
  29. 18
  30. 4
  31. 6
  32. 16
  33. 96
  34. 50
  35. 2
  36. 40
  37. 63
  38. 4
  39. 52
  40. 76

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