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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 326 · 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 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?
  2. 2.Rice at ₹52 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.A grocer mixes 4 kg of tea at ₹63 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹39 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹51 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 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.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?
  7. 7.A grocer mixes 5 kg of tea at ₹100 per kg with 5 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  9. 9.A 48-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?
  10. 10.Rice at ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  11. 11.Rice at ₹52 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  12. 12.A 16-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 10 kg of tea at ₹32 per kg with 10 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹62 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.Rice at ₹46 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.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?
  17. 17.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A jug has 20 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?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.A 64-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?
  23. 23.A grocer mixes 4 kg of tea at ₹93 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  25. 25.A 63-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?
  26. 26.A grocer mixes 2 kg of tea at ₹62 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹65 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.Rice at ₹75 per kg is mixed with rice at ₹152 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.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?
  30. 30.A 30-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?
  31. 31.A grocer mixes 6 kg of tea at ₹35 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  33. 33.A grocer mixes 10 kg of tea at ₹95 per kg with 10 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  35. 35.A grocer mixes 6 kg of tea at ₹104 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 3 kg of tea at ₹93 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 2 kg of tea at ₹72 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  39. 39.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?

Answer key

  1. 25
  2. 10
  3. 69
  4. 10
  5. 36
  6. 50
  7. 71
  8. 27
  9. 12
  10. 35
  11. 35
  12. 4
  13. 50
  14. 8
  15. 4
  16. 60
  17. 64
  18. 52
  19. 28
  20. 8
  21. 5
  22. 24
  23. 77
  24. 40
  25. 27
  26. 43
  27. 12
  28. 18
  29. 50
  30. 20
  31. 50
  32. 24
  33. 73
  34. 5
  35. 98
  36. 65
  37. 108
  38. 40
  39. 50
  40. 12

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