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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 672 · 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 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 6 kg of tea at ₹24 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹80 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  4. 4.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  5. 5.A 56-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?
  6. 6.Rice at ₹54 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.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?
  8. 8.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.Rice at ₹41 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.A grocer mixes 10 kg of tea at ₹95 per kg with 5 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  16. 16.Rice at ₹41 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  17. 17.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?
  18. 18.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?
  19. 19.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?
  20. 20.Rice at ₹35 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  21. 21.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  22. 22.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  23. 23.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  24. 24.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?
  25. 25.A jug has 20 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?
  26. 26.Rice at ₹79 per kg is mixed with rice at ₹143 per kg to make a mix worth ₹119 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.A 10-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?
  28. 28.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.Rice at ₹62 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  30. 30.Rice at ₹58 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A 8-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?
  32. 32.A grocer mixes 12 kg of tea at ₹93 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  34. 34.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  36. 36.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  37. 37.A grocer mixes 12 kg of tea at ₹79 per kg with 12 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹31 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  39. 39.A grocer mixes 3 kg of tea at ₹85 per kg with 3 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 50
  2. 36
  3. 40
  4. 2
  5. 8
  6. 4
  7. 50
  8. 60
  9. 60
  10. 6
  11. 9
  12. 9
  13. 77
  14. 55
  15. 10
  16. 25
  17. 40
  18. 50
  19. 50
  20. 36
  21. 10
  22. 4
  23. 8
  24. 8
  25. 70
  26. 12
  27. 2
  28. 12
  29. 14
  30. 12
  31. 6
  32. 90
  33. 7
  34. 25
  35. 40
  36. 36
  37. 83
  38. 14
  39. 67
  40. 32

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