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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 222 · 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 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?
  2. 2.A grocer mixes 6 kg of tea at ₹26 per kg with 3 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹33 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹72 per kg with 8 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹21 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.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?
  7. 7.A 90-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?
  8. 8.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  9. 9.Rice at ₹20 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  10. 10.Rice at ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.A jug has 40 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?
  13. 13.Rice at ₹27 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  14. 14.Rice at ₹58 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  15. 15.A grocer mixes 9 kg of tea at ₹95 per kg with 3 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 2 kg of tea at ₹87 per kg with 12 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.A grocer mixes 4 kg of tea at ₹77 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 7 kg of tea at ₹50 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  23. 23.Rice at ₹75 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹70 per kg with 3 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 40-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  26. 26.A grocer mixes 5 kg of tea at ₹101 per kg with 5 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A grocer mixes 7 kg of tea at ₹97 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A jug has 20 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?
  31. 31.A grocer mixes 3 kg of tea at ₹90 per kg with 7 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 10 kg of tea at ₹49 per kg with 10 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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 3 : 8?
  34. 34.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  36. 36.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?
  37. 37.A grocer mixes 11 kg of tea at ₹97 per kg with 7 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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 : 4?
  39. 39.A grocer mixes 6 kg of tea at ₹73 per kg with 9 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 20
  2. 39
  3. 21
  4. 56
  5. 1
  6. 75
  7. 40
  8. 8
  9. 7
  10. 20
  11. 9
  12. 25
  13. 5
  14. 12
  15. 77
  16. 51
  17. 50
  18. 20
  19. 38
  20. 59
  21. 25
  22. 3
  23. 35
  24. 82
  25. 5
  26. 76
  27. 10
  28. 88
  29. 75
  30. 50
  31. 83
  32. 41
  33. 32
  34. 24
  35. 3
  36. 80
  37. 76
  38. 6
  39. 82
  40. 52

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