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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 694 · 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.A grocer mixes 12 kg of tea at ₹41 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹118 per kg with 12 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 7 kg of tea at ₹69 per kg with 3 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 6 kg of tea at ₹48 per kg with 8 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 9 kg of tea at ₹79 per kg with 12 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  9. 9.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  11. 11.Rice at ₹38 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.A grocer mixes 7 kg of tea at ₹119 per kg with 7 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.Rice at ₹51 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  18. 18.A grocer mixes 2 kg of tea at ₹32 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹35 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.A grocer mixes 3 kg of tea at ₹91 per kg with 11 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 12 kg of tea at ₹101 per kg with 2 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 10 kg of tea at ₹119 per kg with 10 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 2 kg of tea at ₹102 per kg with 6 kg of tea at ₹30 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  26. 26.A 24-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?
  27. 27.A grocer mixes 2 kg of tea at ₹88 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹73 per kg with 10 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹39 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  31. 31.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?
  32. 32.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?
  33. 33.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?
  34. 34.A grocer mixes 6 kg of tea at ₹82 per kg with 5 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 4 kg of tea at ₹69 per kg with 12 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹26 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  37. 37.A 15-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?
  38. 38.A grocer mixes 8 kg of tea at ₹96 per kg with 2 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹43 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  40. 40.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 60
  2. 6
  3. 35
  4. 74
  5. 63
  6. 36
  7. 71
  8. 12
  9. 6
  10. 10
  11. 12
  12. 40
  13. 40
  14. 80
  15. 50
  16. 4
  17. 16
  18. 74
  19. 12
  20. 58
  21. 100
  22. 108
  23. 48
  24. 60
  25. 18
  26. 8
  27. 40
  28. 103
  29. 36
  30. 8
  31. 70
  32. 40
  33. 50
  34. 67
  35. 75
  36. 8
  37. 6
  38. 91
  39. 3
  40. 6

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