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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 159 · 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 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?
  2. 2.A grocer mixes 4 kg of tea at ₹115 per kg with 3 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  4. 4.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  5. 5.A grocer mixes 10 kg of tea at ₹29 per kg with 7 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  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 : 7?
  7. 7.A 24-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?
  8. 8.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  10. 10.A grocer mixes 2 kg of tea at ₹120 per kg with 8 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.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?
  13. 13.Rice at ₹20 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.A jug has 10 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?
  15. 15.A jug has 40 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?
  16. 16.A grocer mixes 2 kg of tea at ₹20 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 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?
  18. 18.A jug has 40 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?
  19. 19.A jug has 10 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?
  20. 20.A grocer mixes 8 kg of tea at ₹69 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 2 kg of tea at ₹74 per kg with 11 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹59 per kg is mixed with rice at ₹147 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A grocer mixes 4 kg of tea at ₹56 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹58 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹38 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 30 kg of the dearer rice?
  29. 29.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?
  30. 30.A 15-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?
  31. 31.Rice at ₹80 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.Rice at ₹58 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.Rice at ₹61 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.A jug has 20 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?
  35. 35.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 : 5?
  36. 36.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹62 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.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?
  39. 39.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 : 2?
  40. 40.Rice at ₹73 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 70
  2. 88
  3. 16
  4. 16
  5. 36
  6. 32
  7. 8
  8. 20
  9. 12
  10. 56
  11. 14
  12. 36
  13. 25
  14. 50
  15. 28
  16. 59
  17. 70
  18. 40
  19. 60
  20. 46
  21. 41
  22. 5
  23. 51
  24. 68
  25. 15
  26. 8
  27. 60
  28. 6
  29. 40
  30. 5
  31. 4
  32. 2
  33. 20
  34. 60
  35. 24
  36. 75
  37. 25
  38. 50
  39. 15
  40. 10

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