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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 46 · 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 ₹49 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  2. 2.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  3. 3.Rice at ₹60 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.Rice at ₹39 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.Rice at ₹41 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.A 54-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?
  7. 7.A grocer mixes 4 kg of tea at ₹69 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 16-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?
  9. 9.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?
  10. 10.A jug has 40 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?
  11. 11.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?
  12. 12.Rice at ₹56 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.A grocer mixes 11 kg of tea at ₹70 per kg with 5 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹38 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  16. 16.Rice at ₹75 per kg is mixed with rice at ₹110 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?
  17. 17.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?
  18. 18.Rice at ₹53 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  19. 19.A 32-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.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?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹28 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹63 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹73 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  27. 27.A jug has 20 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.A 14-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?
  29. 29.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 2 kg of tea at ₹56 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹107 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 9 kg of tea at ₹50 per kg with 9 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 50-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?
  34. 34.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  36. 36.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?
  37. 37.Rice at ₹38 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  39. 39.Rice at ₹25 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?

Answer key

  1. 16
  2. 4
  3. 10
  4. 15
  5. 6
  6. 6
  7. 67
  8. 2
  9. 28
  10. 52
  11. 75
  12. 24
  13. 16
  14. 80
  15. 7
  16. 35
  17. 36
  18. 16
  19. 4
  20. 60
  21. 15
  22. 32
  23. 36
  24. 16
  25. 70
  26. 7
  27. 52
  28. 4
  29. 60
  30. 62
  31. 95
  32. 41
  33. 20
  34. 6
  35. 30
  36. 25
  37. 4
  38. 20
  39. 6
  40. 9

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