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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 865 · 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.Rice at ₹57 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  2. 2.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?
  3. 3.A 25-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?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.Rice at ₹68 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  6. 6.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 1 : 1?
  7. 7.Rice at ₹33 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 15 kg of the dearer rice?
  8. 8.A grocer mixes 3 kg of tea at ₹74 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 10 kg of tea at ₹43 per kg with 10 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  11. 11.Rice at ₹35 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  12. 12.A 40-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?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.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?
  15. 15.A grocer mixes 2 kg of tea at ₹103 per kg with 10 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  18. 18.A grocer mixes 9 kg of tea at ₹85 per kg with 4 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.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?
  21. 21.A grocer mixes 5 kg of tea at ₹95 per kg with 5 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A 21-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?
  24. 24.A grocer mixes 3 kg of tea at ₹95 per kg with 6 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  27. 27.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  28. 28.Rice at ₹31 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.Rice at ₹54 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  31. 31.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?
  32. 32.A grocer mixes 8 kg of tea at ₹103 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹75 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  34. 34.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?
  35. 35.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  37. 37.Rice at ₹79 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  38. 38.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  39. 39.A grocer mixes 4 kg of tea at ₹22 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?

Answer key

  1. 6
  2. 70
  3. 15
  4. 10
  5. 12
  6. 4
  7. 10
  8. 46
  9. 74
  10. 9
  11. 16
  12. 20
  13. 75
  14. 20
  15. 98
  16. 18
  17. 8
  18. 69
  19. 40
  20. 25
  21. 70
  22. 60
  23. 3
  24. 85
  25. 50
  26. 9
  27. 6
  28. 2
  29. 3
  30. 18
  31. 50
  32. 80
  33. 30
  34. 80
  35. 27
  36. 27
  37. 21
  38. 18
  39. 34
  40. 15

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