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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 601 · 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 3 kg of tea at ₹65 per kg with 3 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  4. 4.A 63-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?
  5. 5.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 1 : 2?
  6. 6.A grocer mixes 2 kg of tea at ₹40 per kg with 10 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹26 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.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 : 7?
  9. 9.Rice at ₹33 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  11. 11.A grocer mixes 2 kg of tea at ₹76 per kg with 9 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.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?
  15. 15.A jug has 20 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?
  16. 16.A jug has 10 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?
  17. 17.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?
  18. 18.A grocer mixes 10 kg of tea at ₹27 per kg with 10 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 10 kg of tea at ₹48 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.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?
  23. 23.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.Rice at ₹45 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A grocer mixes 4 kg of tea at ₹64 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹44 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A jug has 10 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?
  28. 28.Rice at ₹67 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.A jug has 10 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 8 kg of tea at ₹54 per kg with 8 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A grocer mixes 2 kg of tea at ₹53 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹35 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.Rice at ₹63 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  35. 35.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  36. 36.A grocer mixes 4 kg of tea at ₹83 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹116 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  40. 40.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 : 5?

Answer key

  1. 55
  2. 60
  3. 3
  4. 36
  5. 36
  6. 75
  7. 12
  8. 30
  9. 10
  10. 18
  11. 103
  12. 40
  13. 5
  14. 20
  15. 40
  16. 68
  17. 25
  18. 68
  19. 10
  20. 58
  21. 1
  22. 60
  23. 64
  24. 5
  25. 56
  26. 12
  27. 70
  28. 12
  29. 75
  30. 81
  31. 5
  32. 51
  33. 15
  34. 7
  35. 10
  36. 92
  37. 71
  38. 75
  39. 6
  40. 18

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