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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 236 · 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 grocer mixes 10 kg of tea at ₹70 per kg with 10 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 12-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?
  3. 3.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.Rice at ₹70 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.A grocer mixes 10 kg of tea at ₹29 per kg with 12 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A grocer mixes 9 kg of tea at ₹88 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹55 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.Rice at ₹23 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  14. 14.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?
  15. 15.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  16. 16.A 10-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?
  17. 17.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?
  18. 18.A grocer mixes 9 kg of tea at ₹100 per kg with 7 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  20. 20.Rice at ₹65 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  21. 21.A grocer mixes 10 kg of tea at ₹24 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹69 per kg with 3 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 21-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?
  25. 25.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  26. 26.Rice at ₹65 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.Rice at ₹56 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  29. 29.A grocer mixes 6 kg of tea at ₹33 per kg with 9 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹77 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.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?
  33. 33.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?
  34. 34.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  35. 35.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  36. 36.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 5 : 4?
  37. 37.A grocer mixes 3 kg of tea at ₹102 per kg with 2 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 5 kg of tea at ₹115 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 2 kg of tea at ₹104 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 87
  2. 4
  3. 15
  4. 1
  5. 8
  6. 77
  7. 40
  8. 84
  9. 24
  10. 50
  11. 6
  12. 30
  13. 4
  14. 50
  15. 15
  16. 6
  17. 25
  18. 65
  19. 12
  20. 12
  21. 62
  22. 87
  23. 50
  24. 3
  25. 24
  26. 4
  27. 40
  28. 12
  29. 60
  30. 12
  31. 18
  32. 40
  33. 50
  34. 16
  35. 20
  36. 6
  37. 100
  38. 89
  39. 114
  40. 5

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