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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 267 · 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 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  2. 2.Rice at ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  3. 3.Rice at ₹70 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A jug has 10 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?
  5. 5.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹73 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  8. 8.A grocer mixes 9 kg of tea at ₹28 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 9 kg of tea at ₹20 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹33 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  11. 11.A grocer mixes 2 kg of tea at ₹88 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 50-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?
  14. 14.A grocer mixes 8 kg of tea at ₹67 per kg with 2 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 10 kg of tea at ₹42 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 14-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?
  17. 17.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?
  18. 18.Rice at ₹64 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A grocer mixes 11 kg of tea at ₹78 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  21. 21.Rice at ₹75 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 6 kg of the dearer rice?
  22. 22.Rice at ₹43 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A grocer mixes 9 kg of tea at ₹62 per kg with 9 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.Rice at ₹30 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  27. 27.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  28. 28.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  29. 29.A grocer mixes 6 kg of tea at ₹46 per kg with 11 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹54 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  31. 31.A 21-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?
  32. 32.A grocer mixes 4 kg of tea at ₹81 per kg with 6 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 9 kg of tea at ₹33 per kg with 6 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 2 kg of tea at ₹55 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹43 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  38. 38.Rice at ₹70 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  39. 39.A grocer mixes 11 kg of tea at ₹100 per kg with 11 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 6
  2. 16
  3. 6
  4. 55
  5. 12
  6. 50
  7. 7
  8. 37
  9. 33
  10. 32
  11. 60
  12. 25
  13. 20
  14. 71
  15. 41
  16. 8
  17. 60
  18. 10
  19. 60
  20. 27
  21. 9
  22. 32
  23. 9
  24. 43
  25. 25
  26. 14
  27. 18
  28. 16
  29. 79
  30. 40
  31. 14
  32. 84
  33. 37
  34. 5
  35. 50
  36. 82
  37. 42
  38. 5
  39. 89
  40. 25

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