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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 498 · 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.

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  1. 1.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹33 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  3. 3.Rice at ₹45 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.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 : 4?
  5. 5.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?
  6. 6.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?
  7. 7.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  8. 8.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  9. 9.Rice at ₹38 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  10. 10.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?
  11. 11.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  12. 12.A grocer mixes 2 kg of tea at ₹57 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹44 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.A jug has 10 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?
  15. 15.Rice at ₹32 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  16. 16.Rice at ₹51 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A grocer mixes 10 kg of tea at ₹46 per kg with 7 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.Rice at ₹34 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.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?
  21. 21.A jug has 20 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 ₹38 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.Rice at ₹23 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹67 per kg with 6 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 24-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?
  26. 26.Rice at ₹54 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  27. 27.Rice at ₹50 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.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?
  29. 29.A 72-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?
  30. 30.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  31. 31.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 : 8?
  32. 32.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 : 2?
  33. 33.A grocer mixes 5 kg of tea at ₹39 per kg with 10 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  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.Rice at ₹77 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  37. 37.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  39. 39.Rice at ₹78 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.A jug has 40 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?

Answer key

  1. 50
  2. 8
  3. 6
  4. 24
  5. 28
  6. 20
  7. 16
  8. 18
  9. 21
  10. 40
  11. 5
  12. 50
  13. 6
  14. 60
  15. 8
  16. 18
  17. 53
  18. 80
  19. 15
  20. 60
  21. 60
  22. 12
  23. 5
  24. 74
  25. 4
  26. 42
  27. 6
  28. 60
  29. 9
  30. 16
  31. 6
  32. 4
  33. 59
  34. 50
  35. 6
  36. 16
  37. 50
  38. 36
  39. 2
  40. 60

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