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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 698 · 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 ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  3. 3.A 30-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?
  4. 4.Rice at ₹28 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.A grocer mixes 7 kg of tea at ₹44 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹45 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 10 kg of tea at ₹88 per kg with 10 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 7 kg of tea at ₹70 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹21 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A 48-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?
  12. 12.Rice at ₹43 per kg is mixed with rice at ₹78 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?
  13. 13.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  16. 16.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  17. 17.Rice at ₹43 per kg is mixed with rice at ₹88 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?
  18. 18.A jug has 10 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?
  19. 19.Rice at ₹29 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A 28-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?
  21. 21.Rice at ₹60 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 3 kg of tea at ₹75 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 30-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?
  25. 25.A 70-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?
  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.Rice at ₹80 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.Rice at ₹60 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.A 39-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?
  30. 30.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.Rice at ₹54 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.A grocer mixes 3 kg of tea at ₹79 per kg with 8 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹21 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  34. 34.A grocer mixes 4 kg of tea at ₹57 per kg with 4 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.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?
  37. 37.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.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?
  40. 40.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?

Answer key

  1. 30
  2. 30
  3. 6
  4. 5
  5. 48
  6. 12
  7. 28
  8. 84
  9. 81
  10. 9
  11. 16
  12. 28
  13. 7
  14. 2
  15. 12
  16. 5
  17. 4
  18. 55
  19. 20
  20. 4
  21. 15
  22. 36
  23. 39
  24. 6
  25. 10
  26. 80
  27. 1
  28. 18
  29. 9
  30. 6
  31. 18
  32. 55
  33. 21
  34. 56
  35. 30
  36. 50
  37. 60
  38. 50
  39. 50
  40. 40

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