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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 774 · 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 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?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.A grocer mixes 11 kg of tea at ₹65 per kg with 11 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.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?
  7. 7.Rice at ₹51 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  8. 8.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?
  9. 9.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?
  10. 10.Rice at ₹71 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  11. 11.Rice at ₹39 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.Rice at ₹43 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 4 kg of the dearer rice?
  13. 13.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  14. 14.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 2 kg of tea at ₹46 per kg with 4 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 8 kg of tea at ₹44 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹20 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹21 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.A 40-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?
  19. 19.A 28-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 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  21. 21.Rice at ₹55 per kg is mixed with rice at ₹91 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?
  22. 22.A jug has 40 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?
  23. 23.Rice at ₹39 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.Rice at ₹55 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  25. 25.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  26. 26.A grocer mixes 7 kg of tea at ₹25 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 9 kg of tea at ₹102 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  29. 29.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?
  30. 30.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?
  31. 31.Rice at ₹71 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  32. 32.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  33. 33.A grocer mixes 7 kg of tea at ₹90 per kg with 6 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.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?
  36. 36.Rice at ₹22 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  37. 37.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 6 kg of tea at ₹48 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 36
  2. 8
  3. 10
  4. 51
  5. 36
  6. 64
  7. 4
  8. 70
  9. 20
  10. 6
  11. 8
  12. 3
  13. 8
  14. 50
  15. 94
  16. 55
  17. 6
  18. 5
  19. 16
  20. 18
  21. 1
  22. 40
  23. 15
  24. 14
  25. 15
  26. 43
  27. 78
  28. 14
  29. 50
  30. 55
  31. 2
  32. 20
  33. 96
  34. 10
  35. 50
  36. 20
  37. 3
  38. 8
  39. 46
  40. 7

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