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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 995 · 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 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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?
  3. 3.Rice at ₹48 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.Rice at ₹42 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.A grocer mixes 10 kg of tea at ₹102 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 10 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?
  7. 7.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?
  8. 8.Rice at ₹61 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹63 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.A grocer mixes 7 kg of tea at ₹57 per kg with 7 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹80 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  14. 14.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  15. 15.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?
  16. 16.A grocer mixes 11 kg of tea at ₹82 per kg with 7 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 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?
  18. 18.Rice at ₹29 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  19. 19.A grocer mixes 5 kg of tea at ₹83 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 12 kg of tea at ₹98 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹26 per kg is mixed with rice at ₹68 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?
  22. 22.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.A jug has 10 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?
  24. 24.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A grocer mixes 7 kg of tea at ₹55 per kg with 7 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  27. 27.Rice at ₹35 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  28. 28.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  29. 29.Rice at ₹34 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.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?
  31. 31.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹53 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.Rice at ₹61 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A grocer mixes 2 kg of tea at ₹24 per kg with 8 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 8 kg of tea at ₹87 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  39. 39.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.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?

Answer key

  1. 50
  2. 40
  3. 2
  4. 5
  5. 81
  6. 40
  7. 25
  8. 12
  9. 25
  10. 3
  11. 40
  12. 25
  13. 14
  14. 20
  15. 25
  16. 75
  17. 28
  18. 20
  19. 71
  20. 59
  21. 6
  22. 5
  23. 60
  24. 50
  25. 72
  26. 24
  27. 6
  28. 30
  29. 28
  30. 28
  31. 6
  32. 50
  33. 3
  34. 4
  35. 8
  36. 40
  37. 72
  38. 6
  39. 40
  40. 50

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