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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 202 · 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 ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  2. 2.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?
  3. 3.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  4. 4.A grocer mixes 2 kg of tea at ₹118 per kg with 8 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 35-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?
  6. 6.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?
  7. 7.Rice at ₹26 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.Rice at ₹39 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.A grocer mixes 5 kg of tea at ₹111 per kg with 10 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.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?
  12. 12.A grocer mixes 4 kg of tea at ₹60 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 20 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?
  14. 14.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?
  15. 15.A 42-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?
  16. 16.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  17. 17.A jug has 10 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?
  18. 18.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 : 4?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  20. 20.Rice at ₹43 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  21. 21.A 49-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?
  22. 22.A jug has 25 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.Rice at ₹61 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  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 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?
  26. 26.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?
  27. 27.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 8 kg of tea at ₹51 per kg with 8 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹49 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.A grocer mixes 11 kg of tea at ₹52 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 7 kg of tea at ₹21 per kg with 9 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹95 per kg with 8 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 35-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?
  35. 35.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  36. 36.A grocer mixes 5 kg of tea at ₹73 per kg with 11 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  38. 38.A grocer mixes 12 kg of tea at ₹102 per kg with 4 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?

Answer key

  1. 24
  2. 28
  3. 9
  4. 46
  5. 15
  6. 50
  7. 25
  8. 30
  9. 67
  10. 40
  11. 75
  12. 69
  13. 60
  14. 80
  15. 6
  16. 8
  17. 70
  18. 9
  19. 12
  20. 7
  21. 14
  22. 50
  23. 35
  24. 50
  25. 60
  26. 55
  27. 64
  28. 79
  29. 15
  30. 76
  31. 48
  32. 6
  33. 35
  34. 7
  35. 24
  36. 40
  37. 20
  38. 98
  39. 40
  40. 20

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