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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 209 · 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 ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.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?
  3. 3.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  4. 4.A 90-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?
  5. 5.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?
  6. 6.A grocer mixes 4 kg of tea at ₹86 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹44 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A grocer mixes 9 kg of tea at ₹55 per kg with 10 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 84-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?
  11. 11.A jug has 20 litres of a drink that is 10% mango juice. 16 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 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  14. 14.Rice at ₹71 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  15. 15.A 70-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?
  16. 16.A jug has 10 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?
  17. 17.A grocer mixes 9 kg of tea at ₹31 per kg with 9 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 20 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?
  19. 19.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  20. 20.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?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  22. 22.Rice at ₹48 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹30 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.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 : 5?
  26. 26.Rice at ₹78 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  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 grocer mixes 5 kg of tea at ₹117 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  30. 30.A grocer mixes 11 kg of tea at ₹70 per kg with 11 kg of tea at ₹36 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 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  32. 32.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?
  33. 33.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  34. 34.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?
  35. 35.Rice at ₹31 per kg is mixed with rice at ₹73 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?
  36. 36.Rice at ₹49 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.A jug has 40 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?
  38. 38.A 12-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?
  39. 39.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?
  40. 40.A grocer mixes 10 kg of tea at ₹31 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 20
  2. 36
  3. 10
  4. 30
  5. 68
  6. 70
  7. 5
  8. 30
  9. 75
  10. 7
  11. 50
  12. 8
  13. 24
  14. 21
  15. 30
  16. 50
  17. 27
  18. 55
  19. 6
  20. 60
  21. 12
  22. 36
  23. 25
  24. 24
  25. 12
  26. 10
  27. 64
  28. 108
  29. 4
  30. 53
  31. 15
  32. 70
  33. 4
  34. 60
  35. 15
  36. 4
  37. 40
  38. 12
  39. 50
  40. 33

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