← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 332 · 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 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  2. 2.Rice at ₹42 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  3. 3.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  4. 4.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  5. 5.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  6. 6.Rice at ₹74 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.Rice at ₹64 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 10 kg of the dearer rice?
  8. 8.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?
  9. 9.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  11. 11.A 54-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?
  12. 12.A grocer mixes 11 kg of tea at ₹111 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.Rice at ₹64 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.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 1 : 1?
  16. 16.A grocer mixes 10 kg of tea at ₹119 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹64 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  19. 19.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  20. 20.Rice at ₹65 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.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 : 8?
  23. 23.A grocer mixes 12 kg of tea at ₹53 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 6 kg of tea at ₹96 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  26. 26.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  27. 27.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  28. 28.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?
  29. 29.A jug has 10 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?
  30. 30.A 54-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?
  31. 31.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.Rice at ₹61 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  33. 33.A jug has 40 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?
  34. 34.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?
  35. 35.Rice at ₹74 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.A grocer mixes 9 kg of tea at ₹70 per kg with 9 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 12 kg of tea at ₹113 per kg with 11 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 8 kg of tea at ₹53 per kg with 8 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 12 kg of tea at ₹20 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 15
  2. 5
  3. 14
  4. 9
  5. 3
  6. 1
  7. 2
  8. 20
  9. 2
  10. 3
  11. 24
  12. 103
  13. 1
  14. 5
  15. 12
  16. 98
  17. 50
  18. 35
  19. 8
  20. 15
  21. 50
  22. 15
  23. 49
  24. 95
  25. 12
  26. 6
  27. 16
  28. 75
  29. 40
  30. 18
  31. 18
  32. 24
  33. 60
  34. 80
  35. 10
  36. 88
  37. 80
  38. 81
  39. 21
  40. 50

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude