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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 735 · 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 5 kg of tea at ₹76 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹76 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  3. 3.Rice at ₹45 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A grocer mixes 2 kg of tea at ₹109 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 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?
  7. 7.A 15-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?
  8. 8.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?
  9. 9.Rice at ₹43 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  10. 10.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?
  11. 11.A grocer mixes 4 kg of tea at ₹103 per kg with 8 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹49 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹43 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.Rice at ₹65 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 4 kg of tea at ₹100 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 8 kg of tea at ₹109 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 4 kg of tea at ₹94 per kg with 4 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  23. 23.A grocer mixes 9 kg of tea at ₹78 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹56 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹43 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  27. 27.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  28. 28.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A grocer mixes 12 kg of tea at ₹44 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹68 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A 30-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?
  32. 32.A grocer mixes 4 kg of tea at ₹64 per kg with 2 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  34. 34.A grocer mixes 11 kg of tea at ₹57 per kg with 11 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹73 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.A jug has 40 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?
  37. 37.A 21-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?
  38. 38.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 : 8?
  39. 39.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 : 4?
  40. 40.A grocer mixes 2 kg of tea at ₹56 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 92
  2. 8
  3. 3
  4. 50
  5. 107
  6. 52
  7. 10
  8. 40
  9. 20
  10. 20
  11. 97
  12. 32
  13. 50
  14. 5
  15. 4
  16. 75
  17. 105
  18. 105
  19. 50
  20. 67
  21. 55
  22. 8
  23. 66
  24. 14
  25. 79
  26. 6
  27. 10
  28. 25
  29. 37
  30. 8
  31. 3
  32. 52
  33. 12
  34. 66
  35. 8
  36. 40
  37. 7
  38. 12
  39. 3
  40. 60

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