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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 606 · 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 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  2. 2.A jug has 10 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?
  3. 3.A 40-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?
  4. 4.Rice at ₹33 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  5. 5.Rice at ₹54 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  6. 6.Rice at ₹42 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.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?
  11. 11.A grocer mixes 8 kg of tea at ₹20 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A jug has 20 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?
  13. 13.A 104-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?
  14. 14.Rice at ₹24 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  15. 15.A grocer mixes 2 kg of tea at ₹23 per kg with 11 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 28-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?
  17. 17.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  18. 18.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 3 : 1?
  19. 19.Rice at ₹67 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.Rice at ₹72 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  21. 21.Rice at ₹67 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  22. 22.A grocer mixes 5 kg of tea at ₹33 per kg with 5 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹49 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.Rice at ₹39 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.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?
  27. 27.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.A grocer mixes 6 kg of tea at ₹29 per kg with 6 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  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.Rice at ₹68 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  33. 33.A grocer mixes 12 kg of tea at ₹105 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.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?
  36. 36.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  37. 37.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?
  38. 38.A grocer mixes 4 kg of tea at ₹96 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  40. 40.Rice at ₹79 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?

Answer key

  1. 20
  2. 55
  3. 20
  4. 30
  5. 8
  6. 10
  7. 10
  8. 52
  9. 70
  10. 25
  11. 43
  12. 40
  13. 8
  14. 40
  15. 100
  16. 12
  17. 2
  18. 2
  19. 3
  20. 40
  21. 16
  22. 56
  23. 15
  24. 18
  25. 15
  26. 50
  27. 2
  28. 74
  29. 60
  30. 12
  31. 28
  32. 24
  33. 67
  34. 36
  35. 50
  36. 21
  37. 60
  38. 72
  39. 28
  40. 21

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