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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 290 · 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 ₹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 16 kg of the dearer rice?
  2. 2.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.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?
  4. 4.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?
  5. 5.Rice at ₹30 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  6. 6.A 80-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?
  7. 7.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?
  8. 8.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.A 55-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?
  10. 10.Rice at ₹34 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  11. 11.A 70-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?
  12. 12.A 72-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?
  13. 13.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?
  14. 14.A grocer mixes 12 kg of tea at ₹106 per kg with 12 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  16. 16.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A jug has 40 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.Rice at ₹37 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.Rice at ₹36 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  21. 21.A 16-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?
  22. 22.A 21-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?
  23. 23.A grocer mixes 12 kg of tea at ₹82 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A grocer mixes 4 kg of tea at ₹31 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹24 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹45 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.Rice at ₹55 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.Rice at ₹69 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.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?
  31. 31.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?
  32. 32.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A grocer mixes 9 kg of tea at ₹89 per kg with 6 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹71 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A 96-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?
  36. 36.Rice at ₹34 per kg is mixed with rice at ₹46 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?
  37. 37.Rice at ₹52 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  38. 38.A grocer mixes 5 kg of tea at ₹55 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  40. 40.A 10-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?

Answer key

  1. 8
  2. 2
  3. 28
  4. 27
  5. 28
  6. 20
  7. 40
  8. 2
  9. 10
  10. 28
  11. 10
  12. 27
  13. 55
  14. 64
  15. 3
  16. 50
  17. 80
  18. 40
  19. 3
  20. 4
  21. 4
  22. 7
  23. 72
  24. 50
  25. 42
  26. 32
  27. 4
  28. 4
  29. 9
  30. 75
  31. 70
  32. 25
  33. 75
  34. 15
  35. 8
  36. 15
  37. 21
  38. 65
  39. 7
  40. 6

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