Quiz on “Mixture and Alligation”
1. How many kg of tea, worth Rs. 25 per kg, must be blended with 30 kg of tea worth Rs. 30 per kg, so that by selling the blended variety at Rs. 30 per kg there should be a gain of 10%?
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2.In what ratio two varieties of tea, one costing Rs. 25 per kg and the other costing Rs. 30 per kg should be blended to produce blended variety of tea worth Rs. 28 per kg?
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3.In what proportion must tea worth 75 paise per packet be mixed with tea worth Rs. 5.50 per packet so that the mixture may cost Rs. 4.50 per packet?
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4.How many kg of sugar costing Rs. 5.75 per Kg should be mixed with 75 kg of cheaper sugar costing Rs. 4.50 per kg, so that the mixture is worth Rs. 5.50 per kg?
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5.300 gm of salt solution has 40% salt in it. How much salt should be added to make it 50% in the solution?
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6. There are 65 students in a class, 39 rupees are distributed among them so that each boy gets 80 Paiseand girl gets 30 Paise. Find out the number of boys and girls in that class.
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7.A person has Rs 5000. He invests a part of it at 3% per annum and the remainder at 8% per annum simple interest. His total income in 3 years is Rs. 750. Find the sum invested at different rates of interest.
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8.729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3?
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9. The average monthly salary of employees, consisting of officers and workers of an organization is Rs. 3000. The average salary of an officer is Rs 10000 while that of a worker is Rs 2000 per month. If there are total 400 employees in the organization, find out the number of officers and workers separately.
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10. The average weekly salary per head of all employees (supervisors and labourers) is Rs. 100. The average weekly salary per head of all the supervisors is Rs. 600, while the average weekly salary per head of all the labourers is Rs. 75. Find out the number of supervisors in the factory if there are 840 labourers in it.
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