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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 785 · 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 ₹53 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A grocer mixes 5 kg of tea at ₹48 per kg with 5 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 12 kg of tea at ₹56 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  5. 5.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  6. 6.Rice at ₹27 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.A grocer mixes 5 kg of tea at ₹68 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 25 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?
  9. 9.A 30-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?
  10. 10.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  11. 11.A jug has 20 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?
  12. 12.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?
  13. 13.Rice at ₹55 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  14. 14.A grocer mixes 9 kg of tea at ₹100 per kg with 7 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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 : 8?
  16. 16.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  17. 17.A 36-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?
  18. 18.A grocer mixes 6 kg of tea at ₹70 per kg with 9 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A 40-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?
  21. 21.A grocer mixes 11 kg of tea at ₹49 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 56-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?
  23. 23.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?
  24. 24.A grocer mixes 8 kg of tea at ₹106 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 6 kg of tea at ₹21 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 50-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?
  27. 27.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  28. 28.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.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?
  30. 30.A jug has 20 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?
  31. 31.A grocer mixes 4 kg of tea at ₹30 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹59 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  33. 33.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  34. 34.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  35. 35.A grocer mixes 10 kg of tea at ₹62 per kg with 10 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.Rice at ₹24 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  39. 39.Rice at ₹63 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  40. 40.Rice at ₹21 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 4
  2. 70
  3. 62
  4. 40
  5. 9
  6. 10
  7. 80
  8. 50
  9. 20
  10. 32
  11. 55
  12. 36
  13. 21
  14. 79
  15. 9
  16. 12
  17. 3
  18. 97
  19. 25
  20. 16
  21. 43
  22. 8
  23. 28
  24. 85
  25. 31
  26. 10
  27. 30
  28. 12
  29. 60
  30. 60
  31. 53
  32. 4
  33. 20
  34. 24
  35. 48
  36. 16
  37. 9
  38. 28
  39. 25
  40. 5

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