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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 372 · 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 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?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  3. 3.A grocer mixes 3 kg of tea at ₹111 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 4 kg of tea at ₹24 per kg with 6 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  6. 6.A 21-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?
  7. 7.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹44 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  9. 9.A grocer mixes 5 kg of tea at ₹71 per kg with 5 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  11. 11.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?
  12. 12.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?
  13. 13.Rice at ₹25 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.Rice at ₹70 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹62 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  17. 17.Rice at ₹52 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  18. 18.Rice at ₹40 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  20. 20.Rice at ₹44 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  22. 22.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  23. 23.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?
  24. 24.Rice at ₹50 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  25. 25.A grocer mixes 9 kg of tea at ₹80 per kg with 6 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 40-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?
  27. 27.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?
  28. 28.A jug has 40 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?
  29. 29.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.A 32-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?
  31. 31.A jug has 20 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?
  32. 32.Rice at ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 8 kg of tea at ₹29 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 80-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?
  36. 36.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A jug has 25 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?
  39. 39.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?
  40. 40.A grocer mixes 2 kg of tea at ₹55 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 25
  2. 5
  3. 93
  4. 63
  5. 16
  6. 6
  7. 50
  8. 7
  9. 95
  10. 10
  11. 40
  12. 60
  13. 30
  14. 4
  15. 20
  16. 7
  17. 35
  18. 12
  19. 28
  20. 30
  21. 8
  22. 6
  23. 25
  24. 7
  25. 88
  26. 16
  27. 64
  28. 28
  29. 8
  30. 4
  31. 28
  32. 1
  33. 50
  34. 45
  35. 40
  36. 36
  37. 6
  38. 50
  39. 68
  40. 59

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