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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 799 · 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 ₹65 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.Rice at ₹21 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 18 kg of the dearer rice?
  3. 3.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?
  4. 4.A grocer mixes 8 kg of tea at ₹38 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹21 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  8. 8.A jug has 20 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?
  9. 9.Rice at ₹53 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.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 1 : 2?
  11. 11.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?
  12. 12.Rice at ₹22 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  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 1 : 5?
  14. 14.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  15. 15.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.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?
  17. 17.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?
  18. 18.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?
  19. 19.Rice at ₹23 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.A grocer mixes 2 kg of tea at ₹34 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  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.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  23. 23.Rice at ₹46 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  24. 24.A jug has 40 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?
  25. 25.A grocer mixes 5 kg of tea at ₹61 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹43 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹63 per kg with 4 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹56 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  29. 29.A 65-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?
  30. 30.Rice at ₹65 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A jug has 40 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?
  32. 32.A grocer mixes 3 kg of tea at ₹90 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 50 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?
  34. 34.Rice at ₹70 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  35. 35.A grocer mixes 6 kg of tea at ₹98 per kg with 12 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  38. 38.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  39. 39.A grocer mixes 11 kg of tea at ₹76 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 11 kg of tea at ₹55 per kg with 2 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 6
  3. 28
  4. 44
  5. 35
  6. 50
  7. 25
  8. 50
  9. 2
  10. 5
  11. 60
  12. 5
  13. 6
  14. 12
  15. 2
  16. 76
  17. 20
  18. 50
  19. 6
  20. 44
  21. 70
  22. 20
  23. 24
  24. 60
  25. 73
  26. 18
  27. 59
  28. 32
  29. 15
  30. 15
  31. 28
  32. 42
  33. 25
  34. 24
  35. 60
  36. 80
  37. 8
  38. 14
  39. 74
  40. 63

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