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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 23 · 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.

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  1. 1.A jug has 40 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?
  2. 2.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?
  3. 3.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?
  4. 4.Rice at ₹76 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.Rice at ₹79 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.A 27-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?
  7. 7.Rice at ₹65 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A grocer mixes 3 kg of tea at ₹83 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 12 kg of tea at ₹32 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  11. 11.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  13. 13.Rice at ₹63 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  14. 14.Rice at ₹59 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.Rice at ₹30 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹78 per kg with 6 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  18. 18.A 35-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?
  19. 19.Rice at ₹45 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.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?
  21. 21.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?
  22. 22.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?
  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.Rice at ₹22 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹46 per kg with 9 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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 3 : 7?
  27. 27.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?
  28. 28.A jug has 10 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?
  29. 29.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?
  30. 30.A grocer mixes 10 kg of tea at ₹110 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A jug has 25 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?
  33. 33.A grocer mixes 11 kg of tea at ₹113 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.A grocer mixes 4 kg of tea at ₹50 per kg with 7 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  38. 38.Rice at ₹63 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  39. 39.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?
  40. 40.A grocer mixes 4 kg of tea at ₹47 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 20
  2. 55
  3. 16
  4. 8
  5. 24
  6. 18
  7. 2
  8. 63
  9. 56
  10. 6
  11. 12
  12. 10
  13. 28
  14. 28
  15. 6
  16. 63
  17. 8
  18. 14
  19. 3
  20. 25
  21. 25
  22. 80
  23. 50
  24. 16
  25. 55
  26. 14
  27. 50
  28. 60
  29. 60
  30. 83
  31. 52
  32. 50
  33. 65
  34. 12
  35. 92
  36. 50
  37. 8
  38. 24
  39. 75
  40. 46

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