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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 510 · 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 ₹28 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹70 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A 50-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?
  4. 4.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?
  5. 5.A grocer mixes 4 kg of tea at ₹55 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 11 kg of tea at ₹95 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  8. 8.A grocer mixes 3 kg of tea at ₹62 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  11. 11.Rice at ₹33 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  13. 13.A grocer mixes 2 kg of tea at ₹86 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.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?
  16. 16.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 : 10?
  17. 17.Rice at ₹60 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  18. 18.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  19. 19.Rice at ₹76 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.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 3 : 11?
  21. 21.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  22. 22.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?
  23. 23.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A grocer mixes 6 kg of tea at ₹45 per kg with 4 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 24-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?
  26. 26.A 81-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?
  27. 27.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?
  28. 28.Rice at ₹80 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  30. 30.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  31. 31.A grocer mixes 3 kg of tea at ₹71 per kg with 5 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹43 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.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 : 6?
  35. 35.Rice at ₹44 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.Rice at ₹29 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  37. 37.Rice at ₹59 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  38. 38.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 3 kg of the dearer rice?
  39. 39.Rice at ₹76 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 4
  2. 5
  3. 10
  4. 28
  5. 48
  6. 99
  7. 6
  8. 50
  9. 50
  10. 9
  11. 10
  12. 2
  13. 56
  14. 25
  15. 50
  16. 16
  17. 40
  18. 14
  19. 18
  20. 36
  21. 16
  22. 36
  23. 50
  24. 61
  25. 16
  26. 9
  27. 40
  28. 25
  29. 7
  30. 9
  31. 96
  32. 40
  33. 60
  34. 3
  35. 48
  36. 6
  37. 6
  38. 6
  39. 32
  40. 40

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