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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.
How many kg of salt at 25 paise per kg must be mixed with 50 kg of salt costing 42 paise per kg so that a merchant will get a profit of 30% by selling the mixture at 39 paise per kg?
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?
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