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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 233 · 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 12 kg of tea at ₹108 per kg with 12 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A jug has 10 litres of a drink that is 40% mango juice. 15 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 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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?
  6. 6.A 77-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?
  7. 7.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?
  8. 8.Rice at ₹46 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.Rice at ₹58 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.A grocer mixes 3 kg of tea at ₹68 per kg with 11 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.A jug has 10 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?
  13. 13.A grocer mixes 3 kg of tea at ₹84 per kg with 9 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  15. 15.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  16. 16.Rice at ₹41 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.Rice at ₹29 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.Rice at ₹23 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.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?
  20. 20.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?
  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.A grocer mixes 10 kg of tea at ₹109 per kg with 6 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.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?
  26. 26.A grocer mixes 8 kg of tea at ₹58 per kg with 7 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  29. 29.A grocer mixes 8 kg of tea at ₹40 per kg with 12 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹21 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 15 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 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A jug has 40 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?
  34. 34.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  35. 35.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  36. 36.Rice at ₹48 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹112 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 6 kg of tea at ₹70 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 6 kg of tea at ₹22 per kg with 3 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 55-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. 97
  2. 40
  3. 76
  4. 75
  5. 80
  6. 14
  7. 18
  8. 9
  9. 1
  10. 90
  11. 1
  12. 40
  13. 96
  14. 6
  15. 9
  16. 20
  17. 2
  18. 4
  19. 50
  20. 40
  21. 25
  22. 97
  23. 9
  24. 25
  25. 60
  26. 51
  27. 60
  28. 5
  29. 55
  30. 12
  31. 70
  32. 36
  33. 60
  34. 15
  35. 27
  36. 4
  37. 70
  38. 68
  39. 31
  40. 10

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