Class 12 CBSE Applied Maths Number Quantification & Numerical Applications Exercise 1.3
Class 12 CBSE Applied Maths aims to develop an understanding of basic
mathematical and statistical tools and their
applications in the field of commerce (business/ finance/economics) and social
sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and
Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index
Numbers and Time-based data , Financial Mathematics , Linear Programming.
Please Select
Q1. In what ratio must a grocer mix two varieties of pulses worth ₹85 per kg and ₹100 per kg respectively so as to get a mixture worth ₹92 per kg?
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Q2. The cost price of type A apples is ₹120 per kg and that of type B apples is ₹180 per kg. If bo types of apples are mixed in the ratio 2:3 respectively, then find the price per kg of mixed
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Q3. In what ratio must rice at ₹45 per kg is mixed with rice at ₹60 per kg so that the mixture by worth ₹54 per kg?
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Q4. In what ratio must a grocer mix two varieties of tea worth ₹180 per kg and ₹200 per kg respectively so that selling the mixture at ₹216.20, he may gain 15%
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Q5. A shopkeeper mixes two varieties of rice one costs ₹ 161 per kg and other costs 179 per kg in the ratio 5:4 respectively. He sells the mixed variety at ₹202.80 per kg. Find his profit percentage.
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Q6. How many kg of sugar costing ₹45 per kg must be mixed with 30 kg sugar costing ₹35 per kg so that there may be a gain of 12% by selling the mixture at ₹47.04 per kg?
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Q7. Three varieties A, B and C of rice are mixed together in the ratio 4: 1:1 respectively. The cost price of rice B is ₹82 per kg and that of rice C is ₹90 per kg. If the price of the mixture is ₹94 per kg, then find the price per kg of rice A.
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Q8. A vessel contains a mixture of two liquids X and Y in the ratio 3: 5.8 litres of mixture are drawn off from the vessel and 8 litres of liquid X is filled in the vessel. If the ratio of liquids X and Y is now becomes 7:10, how many litres of liquids X and Y were contained by the vessel initially?
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Q9. Two vessels P and Q contain milk and water in the ratio 5:3 and 13:3 respectively. In what ratio mixtures from two vessels should be mixed to get a new mixture containing milk and water in the ratio 3:1 respectively?
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Q10. Two vessels A and B contain milk and water in the ratio 3:2 and 7: 13 respectively. They are mixed in the ratio 2:3. Find the ratio of milk and water in the final mixture.
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Q11. A milkman has two cans. First containing 75% milk and rest water, whereas second containing 50% milk and rest water. How much mixture should he mix from each can so as to get 20 litres of mixture, such that ratio of milk and water is 5:3 respectively?
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Q12. In what ratio must a person mix two sugar solutions of 30% and 50% concentration respectively so as to get a solution of 45% concentration?
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Q13. A shopkeeper has 1 quintal of wheat, part of which she sells at 18% gain and the rest at 28% gain. In total she gains 24%. Find the quantity of wheat sold at 18% and 28%.
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Q14. The average salary per worker of the entire staff of a polythene bag manufacturing unit including machine operator and labours is ₹7500. The average salary per head of the machine operator is ₹25000 and that of labours is ₹6000. Find the number of workers in the unit if there are 3 machine operators.
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Q15. 900 g of sugar solution has 40% sugar in it. How much sugar should be added to make it 55% in the solution?
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Q16. In what ratio water must be added in milk costing ₹60 per litre, so that resulting mixture would be worth ₹50 per litre?
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Q17. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated two more times. How much milk is now left in the container?
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Q18. From a container containing 50 litres of milk, 8 litres of milk was taken out and replaced by water. This process is repeated two more times. How much milk is now left in the container?
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Q19. From a container full of alcohol 6 litres of alcohol was drawn out and replaced by water. This process is repeated one more time. The ratio of the quantity of alcohol and water left in the container is 9: 16. How many litres of alcohol did the container hold originally
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