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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 70 · 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 grocer mixes 5 kg of tea at ₹112 per kg with 3 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  3. 3.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.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?
  6. 6.A grocer mixes 6 kg of tea at ₹60 per kg with 10 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹64 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹32 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹57 per kg is mixed with rice at ₹129 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?
  12. 12.A grocer mixes 2 kg of tea at ₹47 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.A 80-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?
  15. 15.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  16. 16.Rice at ₹70 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.Rice at ₹69 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  18. 18.Rice at ₹70 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  20. 20.A grocer mixes 10 kg of tea at ₹108 per kg with 10 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  22. 22.Rice at ₹54 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  24. 24.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?
  25. 25.A grocer mixes 4 kg of tea at ₹67 per kg with 6 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹35 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.Rice at ₹40 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.A grocer mixes 3 kg of tea at ₹110 per kg with 8 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  30. 30.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  31. 31.A grocer mixes 7 kg of tea at ₹70 per kg with 7 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 36-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?
  33. 33.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?
  34. 34.A grocer mixes 6 kg of tea at ₹22 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 3 kg of tea at ₹67 per kg with 9 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 2 kg of tea at ₹53 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹38 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  39. 39.Rice at ₹38 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 79
  2. 5
  3. 60
  4. 6
  5. 7
  6. 35
  7. 48
  8. 60
  9. 15
  10. 36
  11. 15
  12. 43
  13. 9
  14. 10
  15. 18
  16. 5
  17. 7
  18. 48
  19. 32
  20. 100
  21. 12
  22. 10
  23. 28
  24. 40
  25. 58
  26. 24
  27. 5
  28. 94
  29. 6
  30. 4
  31. 81
  32. 3
  33. 20
  34. 30
  35. 103
  36. 25
  37. 48
  38. 14
  39. 32
  40. 80

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