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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 161 · 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.Rice at ₹56 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.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?
  3. 3.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?
  4. 4.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?
  5. 5.Rice at ₹58 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹111 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 4 kg of tea at ₹34 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹32 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.Rice at ₹27 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  11. 11.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  13. 13.A grocer mixes 4 kg of tea at ₹64 per kg with 9 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A grocer mixes 7 kg of tea at ₹85 per kg with 4 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 9 kg of tea at ₹37 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.Rice at ₹64 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.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?
  20. 20.Rice at ₹34 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.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?
  22. 22.Rice at ₹26 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.A grocer mixes 5 kg of tea at ₹77 per kg with 5 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 3 kg of tea at ₹28 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 12 kg of tea at ₹32 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹46 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A grocer mixes 3 kg of tea at ₹115 per kg with 2 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹37 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  29. 29.A grocer mixes 4 kg of tea at ₹110 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 4 kg of tea at ₹94 per kg with 10 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  32. 32.A grocer mixes 6 kg of tea at ₹76 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 9 kg of tea at ₹71 per kg with 6 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 16-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?
  36. 36.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?
  37. 37.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?
  38. 38.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  39. 39.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  40. 40.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?

Answer key

  1. 8
  2. 60
  3. 60
  4. 60
  5. 14
  6. 66
  7. 35
  8. 2
  9. 4
  10. 12
  11. 50
  12. 3
  13. 55
  14. 25
  15. 97
  16. 50
  17. 14
  18. 6
  19. 70
  20. 1
  21. 20
  22. 12
  23. 67
  24. 56
  25. 28
  26. 16
  27. 117
  28. 6
  29. 90
  30. 74
  31. 10
  32. 64
  33. 69
  34. 50
  35. 4
  36. 64
  37. 75
  38. 9
  39. 15
  40. 20

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