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14-x, 17-x, 34-x and 42-x to be proportional
----- = -------
=>(14-x)(42-x) = (34-x)(17-x)
=>14*42 -56x +x^2 = 34*17 -51x + x^2
=>14*42-34*17 = 5x
=>2(294-289) => 10= 5x or x=2
so 12 15 32 and 40 will be proportional.
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup.
How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
A bag contains 64 balls of eight different colours. There are eight of each colour (including red). What is the least number you would have to pick, without looking, to be sure of selecting 3 red balls?
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