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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 96 · 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 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  3. 3.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.Rice at ₹77 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.Rice at ₹52 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.Rice at ₹73 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.A grocer mixes 6 kg of tea at ₹86 per kg with 5 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 3 kg of tea at ₹118 per kg with 7 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹50 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  11. 11.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?
  12. 12.A jug has 10 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?
  13. 13.Rice at ₹20 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  14. 14.Rice at ₹76 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.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?
  16. 16.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?
  17. 17.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  18. 18.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.Rice at ₹57 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹40 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  23. 23.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?
  24. 24.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?
  25. 25.A grocer mixes 4 kg of tea at ₹93 per kg with 8 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 4 kg of tea at ₹69 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹36 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹74 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  30. 30.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?
  31. 31.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  33. 33.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  34. 34.A grocer mixes 8 kg of tea at ₹64 per kg with 7 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹36 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A grocer mixes 5 kg of tea at ₹102 per kg with 3 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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 1 : 1?
  38. 38.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?
  39. 39.A grocer mixes 2 kg of tea at ₹117 per kg with 2 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹78 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?

Answer key

  1. 50
  2. 30
  3. 21
  4. 8
  5. 12
  6. 12
  7. 40
  8. 66
  9. 55
  10. 24
  11. 36
  12. 80
  13. 35
  14. 20
  15. 36
  16. 52
  17. 12
  18. 8
  19. 2
  20. 24
  21. 50
  22. 6
  23. 20
  24. 64
  25. 105
  26. 57
  27. 1
  28. 60
  29. 2
  30. 60
  31. 8
  32. 28
  33. 12
  34. 50
  35. 4
  36. 78
  37. 6
  38. 7
  39. 110
  40. 16

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