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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 757 · 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 8 kg of tea at ₹26 per kg with 10 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹65 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  3. 3.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  4. 4.Rice at ₹51 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.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?
  6. 6.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  8. 8.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?
  9. 9.Rice at ₹31 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹51 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹63 per kg with 4 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  14. 14.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  15. 15.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  16. 16.A grocer mixes 6 kg of tea at ₹43 per kg with 4 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹51 per kg with 12 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.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?
  22. 22.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?
  23. 23.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 : 3?
  24. 24.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?
  25. 25.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?
  26. 26.A grocer mixes 5 kg of tea at ₹107 per kg with 10 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 10 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?
  28. 28.A grocer mixes 8 kg of tea at ₹113 per kg with 7 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A grocer mixes 11 kg of tea at ₹36 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  32. 32.A grocer mixes 12 kg of tea at ₹38 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹28 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹107 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.Rice at ₹43 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  37. 37.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 46
  2. 7
  3. 5
  4. 10
  5. 40
  6. 8
  7. 40
  8. 9
  9. 8
  10. 25
  11. 15
  12. 67
  13. 9
  14. 3
  15. 8
  16. 51
  17. 50
  18. 18
  19. 93
  20. 40
  21. 75
  22. 20
  23. 20
  24. 36
  25. 60
  26. 95
  27. 60
  28. 99
  29. 28
  30. 33
  31. 8
  32. 37
  33. 5
  34. 87
  35. 25
  36. 20
  37. 3
  38. 36
  39. 70
  40. 8

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