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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 126 · 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 6 kg of tea at ₹24 per kg with 12 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹41 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.A grocer mixes 2 kg of tea at ₹49 per kg with 4 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹20 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  5. 5.A grocer mixes 6 kg of tea at ₹43 per kg with 5 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.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?
  9. 9.A grocer mixes 4 kg of tea at ₹20 per kg with 9 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  12. 12.A grocer mixes 10 kg of tea at ₹103 per kg with 8 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  14. 14.A grocer mixes 4 kg of tea at ₹39 per kg with 2 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹55 per kg with 10 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹50 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.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 2 : 7?
  19. 19.A grocer mixes 4 kg of tea at ₹30 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹50 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  21. 21.A grocer mixes 4 kg of tea at ₹21 per kg with 4 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  23. 23.Rice at ₹62 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 11 kg of tea at ₹75 per kg with 11 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 50 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?
  27. 27.Rice at ₹43 per kg is mixed with rice at ₹57 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?
  28. 28.Rice at ₹24 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.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?
  30. 30.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 : 2?
  31. 31.Rice at ₹21 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  32. 32.A grocer mixes 3 kg of tea at ₹102 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  34. 34.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?
  35. 35.A grocer mixes 5 kg of tea at ₹98 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  38. 38.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  39. 39.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?
  40. 40.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?

Answer key

  1. 74
  2. 24
  3. 43
  4. 3
  5. 48
  6. 80
  7. 8
  8. 70
  9. 83
  10. 50
  11. 8
  12. 107
  13. 3
  14. 65
  15. 40
  16. 45
  17. 9
  18. 8
  19. 26
  20. 16
  21. 40
  22. 36
  23. 3
  24. 60
  25. 52
  26. 50
  27. 1
  28. 1
  29. 60
  30. 6
  31. 14
  32. 54
  33. 18
  34. 25
  35. 52
  36. 60
  37. 16
  38. 30
  39. 20
  40. 36

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