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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 69 · 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 grocer mixes 9 kg of tea at ₹53 per kg with 3 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  3. 3.Rice at ₹53 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.Rice at ₹62 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.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?
  6. 6.A 35-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?
  7. 7.A grocer mixes 7 kg of tea at ₹37 per kg with 7 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹32 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  10. 10.A grocer mixes 4 kg of tea at ₹93 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.A grocer mixes 10 kg of tea at ₹48 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 110-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?
  14. 14.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 : 4?
  15. 15.A grocer mixes 3 kg of tea at ₹28 per kg with 10 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 8 kg of tea at ₹113 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 42-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?
  18. 18.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?
  19. 19.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A grocer mixes 12 kg of tea at ₹25 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹65 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.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?
  23. 23.A grocer mixes 9 kg of tea at ₹34 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A grocer mixes 8 kg of tea at ₹98 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 2 kg of tea at ₹56 per kg with 4 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 6 kg of tea at ₹106 per kg with 6 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  29. 29.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?
  30. 30.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?
  31. 31.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  32. 32.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  34. 34.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?
  35. 35.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  36. 36.A 42-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?
  37. 37.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.A grocer mixes 7 kg of tea at ₹49 per kg with 7 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 7 kg of tea at ₹100 per kg with 7 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 51
  2. 8
  3. 5
  4. 2
  5. 3
  6. 28
  7. 74
  8. 10
  9. 15
  10. 70
  11. 50
  12. 51
  13. 20
  14. 6
  15. 68
  16. 89
  17. 6
  18. 50
  19. 50
  20. 28
  21. 15
  22. 25
  23. 31
  24. 18
  25. 102
  26. 58
  27. 73
  28. 21
  29. 40
  30. 64
  31. 28
  32. 75
  33. 4
  34. 50
  35. 32
  36. 6
  37. 10
  38. 57
  39. 70
  40. 70

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