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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 288 · 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 grocer mixes 11 kg of tea at ₹51 per kg with 11 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹49 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  3. 3.A grocer mixes 4 kg of tea at ₹38 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  5. 5.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹80 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  7. 7.Rice at ₹20 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  10. 10.A grocer mixes 9 kg of tea at ₹113 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 20 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?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  15. 15.A jug has 10 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?
  16. 16.A 9-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?
  17. 17.A grocer mixes 10 kg of tea at ₹103 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 9 kg of tea at ₹74 per kg with 9 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 10 kg of tea at ₹35 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 48-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?
  21. 21.Rice at ₹76 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.A grocer mixes 5 kg of tea at ₹34 per kg with 5 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 18-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?
  24. 24.A jug has 40 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?
  25. 25.Rice at ₹37 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  26. 26.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?
  27. 27.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  28. 28.A 80-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?
  29. 29.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  30. 30.Rice at ₹28 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.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?
  32. 32.Rice at ₹52 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  33. 33.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 : 5?
  34. 34.A jug has 50 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?
  35. 35.A grocer mixes 12 kg of tea at ₹24 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 5 kg of tea at ₹59 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹27 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.Rice at ₹48 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹73 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹24 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 52
  2. 7
  3. 28
  4. 24
  5. 76
  6. 15
  7. 12
  8. 4
  9. 8
  10. 102
  11. 40
  12. 5
  13. 25
  14. 4
  15. 68
  16. 9
  17. 61
  18. 64
  19. 34
  20. 32
  21. 25
  22. 43
  23. 6
  24. 25
  25. 32
  26. 80
  27. 9
  28. 30
  29. 9
  30. 15
  31. 80
  32. 12
  33. 12
  34. 50
  35. 45
  36. 47
  37. 30
  38. 32
  39. 57
  40. 5

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