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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 883 · 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 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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?
  3. 3.A grocer mixes 3 kg of tea at ₹76 per kg with 3 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹78 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 3 kg of the dearer rice?
  5. 5.Rice at ₹54 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  7. 7.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?
  8. 8.Rice at ₹49 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  10. 10.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  12. 12.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  13. 13.A grocer mixes 7 kg of tea at ₹64 per kg with 7 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹20 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.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?
  16. 16.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹55 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A grocer mixes 6 kg of tea at ₹31 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹59 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.Rice at ₹50 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.Rice at ₹55 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  23. 23.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  24. 24.A grocer mixes 3 kg of tea at ₹76 per kg with 9 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.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?
  27. 27.Rice at ₹43 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.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 2 : 1?
  29. 29.Rice at ₹26 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.A 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  31. 31.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  32. 32.A grocer mixes 12 kg of tea at ₹38 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 7 kg of tea at ₹43 per kg with 3 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 8 kg of tea at ₹35 per kg with 9 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹30 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  36. 36.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  37. 37.Rice at ₹68 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A 70-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  39. 39.Rice at ₹31 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.Rice at ₹72 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 68
  2. 50
  3. 94
  4. 18
  5. 4
  6. 8
  7. 16
  8. 8
  9. 10
  10. 6
  11. 6
  12. 6
  13. 53
  14. 6
  15. 40
  16. 50
  17. 15
  18. 41
  19. 4
  20. 4
  21. 28
  22. 8
  23. 18
  24. 73
  25. 4
  26. 55
  27. 4
  28. 7
  29. 14
  30. 5
  31. 8
  32. 56
  33. 49
  34. 53
  35. 15
  36. 7
  37. 2
  38. 21
  39. 6
  40. 8

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