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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 546 · 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 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹70 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.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?
  4. 4.Rice at ₹52 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  5. 5.Rice at ₹53 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.Rice at ₹63 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A 18-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?
  8. 8.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.A grocer mixes 9 kg of tea at ₹112 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.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?
  13. 13.Rice at ₹74 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.A 20-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  15. 15.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?
  16. 16.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 3 : 8?
  17. 17.A grocer mixes 3 kg of tea at ₹42 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹73 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.Rice at ₹69 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.Rice at ₹30 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 36 kg of the dearer rice?
  24. 24.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  25. 25.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A jug has 10 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?
  27. 27.Rice at ₹69 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  28. 28.Rice at ₹46 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  29. 29.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  30. 30.A grocer mixes 5 kg of tea at ₹40 per kg with 10 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹43 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.A 16-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?
  33. 33.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹24 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  37. 37.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?
  38. 38.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.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?
  40. 40.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?

Answer key

  1. 60
  2. 4
  3. 40
  4. 40
  5. 2
  6. 5
  7. 6
  8. 12
  9. 20
  10. 70
  11. 24
  12. 80
  13. 18
  14. 8
  15. 28
  16. 27
  17. 72
  18. 18
  19. 8
  20. 8
  21. 5
  22. 9
  23. 30
  24. 4
  25. 64
  26. 40
  27. 30
  28. 5
  29. 18
  30. 72
  31. 5
  32. 8
  33. 36
  34. 48
  35. 20
  36. 8
  37. 70
  38. 75
  39. 50
  40. 21

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