Applied Maths - Allegation and Mixture

Grade 12 Maths — Applied Maths - Allegation and Mixture: 25 practice questions with instant scoring and explanations.

1. Allegation is a method to find:
2. Rule of Allegation states: if two ingredients are mixed, then:
3. At what ratio must rice costing Rs. 5/kg and Rs. 7/kg be mixed to get rice costing Rs. 5.6/kg?
4. Two liquids with 30% and 60% concentrations are mixed. To get 50% concentration, the ratio is:
5. If 10 kg of water is added to a 20% salt solution of 50 kg, the new concentration is:
6. Milk costing Rs. 2/liter and Rs. 3/liter are mixed in ratio 3:2. Cost per liter of mixture is:
7. In a 40-liter mixture of milk and water in ratio 3:2, the quantity of milk is:
8. To the above mixture, 20 liters of milk is added. New ratio of milk:water is:
9. Two alloys contain 20% and 50% gold. To get 36% gold alloy, mix in ratio:
10. A mixture has 4 parts sugar and 1 part salt. To reduce salt to 10%, add sugar:
11. Cost price of mixture when two items costing Rs. a and Rs. b are mixed in ratio m:n is:
12. If 5 kg of rice at Rs. 8/kg is mixed with 3 kg at Rs. 12/kg, cost per kg is:
13. Mean concentration when two solutions of 20% and 80% are mixed equally by volume:
14. A chemist has 10 liters of 25% acid. To make it 50%, pure acid needed is:
15. Mixture of 50 kg at Rs. 120/kg and 30 kg at Rs. 160/kg gives cost per kg as:
16. Profit on a mixture = Selling price − Cost price. If mixture costs Rs. 135/kg and sells at Rs. 150/kg, profit per kg is:
17. Profit % = (Profit/Cost price) × 100. For above, profit % is:
18. In Alligation Medial, we find:
19. In Alligation Alternate, we find:
20. Repeated dilution formula: Final concentration = Initial × (1 − dilution_fraction)^n after n operations:
21. If a container has 100 liters of milk, and 10 liters is replaced with water repeatedly, after 3 replacements, milk % is:
22. Blending problems often appear in real-world contexts such as:
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