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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 557 · 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 ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.Rice at ₹20 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.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?
  5. 5.A grocer mixes 9 kg of tea at ₹49 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹21 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.A grocer mixes 4 kg of tea at ₹63 per kg with 5 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹59 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.Rice at ₹55 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  11. 11.A grocer mixes 4 kg of tea at ₹95 per kg with 10 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 48-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?
  13. 13.Rice at ₹49 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  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.Rice at ₹51 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.Rice at ₹66 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  18. 18.A 35-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?
  19. 19.Rice at ₹22 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 8 kg of the dearer rice?
  20. 20.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  21. 21.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  22. 22.A grocer mixes 4 kg of tea at ₹85 per kg with 5 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹53 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A 24-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?
  25. 25.A jug has 20 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?
  26. 26.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  27. 27.A grocer mixes 4 kg of tea at ₹91 per kg with 8 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹54 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  29. 29.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹71 per kg is mixed with rice at ₹127 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?
  31. 31.A 44-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?
  32. 32.A jug has 20 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?
  33. 33.A 50-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?
  34. 34.Rice at ₹38 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.A 40-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 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 : 4?
  37. 37.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?
  38. 38.Rice at ₹54 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.Rice at ₹65 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  40. 40.Rice at ₹32 per kg is mixed with rice at ₹64 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?

Answer key

  1. 12
  2. 4
  3. 30
  4. 76
  5. 57
  6. 2
  7. 43
  8. 68
  9. 12
  10. 21
  11. 65
  12. 8
  13. 10
  14. 20
  15. 8
  16. 2
  17. 10
  18. 10
  19. 6
  20. 20
  21. 16
  22. 60
  23. 40
  24. 3
  25. 28
  26. 12
  27. 93
  28. 15
  29. 25
  30. 10
  31. 4
  32. 52
  33. 10
  34. 1
  35. 5
  36. 27
  37. 50
  38. 20
  39. 24
  40. 6

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