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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 435 · 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 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  2. 2.Rice at ₹78 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.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?
  6. 6.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  7. 7.A jug has 40 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?
  8. 8.A grocer mixes 4 kg of tea at ₹100 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 28-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?
  10. 10.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  11. 11.Rice at ₹26 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.Rice at ₹69 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  13. 13.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?
  14. 14.A grocer mixes 5 kg of tea at ₹110 per kg with 5 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 11 kg of tea at ₹96 per kg with 11 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  17. 17.A grocer mixes 9 kg of tea at ₹31 per kg with 6 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A grocer mixes 2 kg of tea at ₹44 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  22. 22.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?
  23. 23.Rice at ₹32 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹26 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.A jug has 10 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?
  27. 27.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?
  28. 28.Rice at ₹24 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.Rice at ₹24 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.Rice at ₹70 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹59 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹68 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  35. 35.A 42-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?
  36. 36.Rice at ₹38 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.A grocer mixes 9 kg of tea at ₹86 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.Rice at ₹43 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?

Answer key

  1. 8
  2. 2
  3. 25
  4. 9
  5. 50
  6. 8
  7. 52
  8. 82
  9. 4
  10. 18
  11. 4
  12. 8
  13. 50
  14. 76
  15. 101
  16. 9
  17. 37
  18. 60
  19. 68
  20. 25
  21. 15
  22. 60
  23. 12
  24. 68
  25. 18
  26. 75
  27. 50
  28. 24
  29. 8
  30. 1
  31. 14
  32. 56
  33. 28
  34. 2
  35. 6
  36. 4
  37. 68
  38. 36
  39. 6
  40. 7

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