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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 59 · 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 50 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?
  2. 2.A grocer mixes 8 kg of tea at ₹52 per kg with 2 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.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?
  5. 5.Rice at ₹63 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  6. 6.Rice at ₹75 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.Rice at ₹80 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  9. 9.A jug has 20 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?
  10. 10.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  11. 11.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  13. 13.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 8 kg of tea at ₹62 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹26 per kg is mixed with rice at ₹50 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?
  16. 16.Rice at ₹50 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  18. 18.A grocer mixes 2 kg of tea at ₹83 per kg with 5 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  20. 20.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  21. 21.A 120-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?
  22. 22.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 : 4?
  23. 23.Rice at ₹32 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹80 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 28-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?
  26. 26.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?
  27. 27.Rice at ₹53 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  28. 28.Rice at ₹28 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.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 : 5?
  31. 31.A 20-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?
  32. 32.Rice at ₹53 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.A grocer mixes 8 kg of tea at ₹84 per kg with 4 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹80 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.Rice at ₹38 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  37. 37.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  38. 38.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.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?
  40. 40.A grocer mixes 6 kg of tea at ₹100 per kg with 3 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 25
  2. 49
  3. 55
  4. 50
  5. 24
  6. 3
  7. 18
  8. 3
  9. 70
  10. 10
  11. 20
  12. 7
  13. 25
  14. 65
  15. 2
  16. 2
  17. 12
  18. 93
  19. 20
  20. 10
  21. 20
  22. 16
  23. 9
  24. 79
  25. 14
  26. 25
  27. 7
  28. 6
  29. 14
  30. 32
  31. 2
  32. 6
  33. 85
  34. 15
  35. 15
  36. 2
  37. 8
  38. 36
  39. 20
  40. 99

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