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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 716 · 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 ₹80 per kg is mixed with rice at ₹85 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?
  2. 2.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?
  3. 3.A jug has 40 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?
  4. 4.Rice at ₹30 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.Rice at ₹74 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  7. 7.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?
  8. 8.Rice at ₹68 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.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?
  10. 10.A grocer mixes 7 kg of tea at ₹65 per kg with 7 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  12. 12.A grocer mixes 11 kg of tea at ₹100 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹69 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.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?
  16. 16.A grocer mixes 10 kg of tea at ₹98 per kg with 5 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹21 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A grocer mixes 5 kg of tea at ₹75 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.Rice at ₹50 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  21. 21.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?
  22. 22.Rice at ₹27 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.A jug has 25 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?
  24. 24.Rice at ₹34 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.Rice at ₹80 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.Rice at ₹78 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  27. 27.A grocer mixes 3 kg of tea at ₹54 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 9 kg of tea at ₹39 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹34 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  30. 30.A grocer mixes 3 kg of tea at ₹46 per kg with 3 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  32. 32.A grocer mixes 6 kg of tea at ₹27 per kg with 12 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  34. 34.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  35. 35.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  37. 37.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 5 kg of tea at ₹117 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹26 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.A 32-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?

Answer key

  1. 6
  2. 80
  3. 52
  4. 25
  5. 1
  6. 16
  7. 50
  8. 12
  9. 10
  10. 79
  11. 10
  12. 92
  13. 60
  14. 1
  15. 25
  16. 95
  17. 30
  18. 64
  19. 52
  20. 5
  21. 70
  22. 40
  23. 50
  24. 4
  25. 18
  26. 7
  27. 68
  28. 79
  29. 15
  30. 42
  31. 6
  32. 55
  33. 30
  34. 9
  35. 75
  36. 15
  37. 50
  38. 78
  39. 8
  40. 8

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