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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 328 · 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.Rice at ₹53 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  2. 2.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?
  3. 3.A 12-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?
  4. 4.Rice at ₹77 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.A jug has 25 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?
  6. 6.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 1 : 3?
  7. 7.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 3 : 5?
  8. 8.A grocer mixes 7 kg of tea at ₹70 per kg with 7 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A grocer mixes 6 kg of tea at ₹59 per kg with 12 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 4 kg of tea at ₹95 per kg with 8 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 12 kg of tea at ₹67 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹70 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹31 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹48 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  18. 18.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  20. 20.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.A 81-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?
  22. 22.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?
  23. 23.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  24. 24.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?
  25. 25.Rice at ₹38 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  26. 26.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?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹69 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  30. 30.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?
  31. 31.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A grocer mixes 9 kg of tea at ₹51 per kg with 9 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  34. 34.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  35. 35.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.Rice at ₹21 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹70 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.A grocer mixes 9 kg of tea at ₹62 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?

Answer key

  1. 32
  2. 40
  3. 4
  4. 18
  5. 50
  6. 10
  7. 15
  8. 61
  9. 76
  10. 15
  11. 25
  12. 87
  13. 107
  14. 50
  15. 2
  16. 65
  17. 7
  18. 75
  19. 3
  20. 2
  21. 18
  22. 25
  23. 30
  24. 80
  25. 14
  26. 50
  27. 55
  28. 15
  29. 6
  30. 50
  31. 70
  32. 59
  33. 21
  34. 9
  35. 16
  36. 10
  37. 3
  38. 70
  39. 68
  40. 7

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