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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 624 · 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 jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹46 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  3. 3.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  4. 4.Rice at ₹48 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  5. 5.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?
  6. 6.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?
  7. 7.Rice at ₹55 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.A grocer mixes 12 kg of tea at ₹20 per kg with 9 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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 : 7?
  10. 10.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  11. 11.Rice at ₹48 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  13. 13.A grocer mixes 8 kg of tea at ₹26 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  15. 15.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹43 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?
  17. 17.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  18. 18.Rice at ₹22 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.Rice at ₹62 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.Rice at ₹44 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  22. 22.Rice at ₹44 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  25. 25.Rice at ₹34 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹49 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 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.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 : 5?
  28. 28.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.Rice at ₹62 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 40 kg of the dearer rice?
  30. 30.Rice at ₹50 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  31. 31.Rice at ₹54 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  32. 32.A jug has 20 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?
  33. 33.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.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?
  35. 35.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.Rice at ₹28 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  37. 37.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.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?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  40. 40.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?

Answer key

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

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