SOLUTION: If one type of rice cost is Rs.13.84 Another type rice cost is Rs15.54. Mixture is sold at Rs17.6 with profit of 14.6% of selling price Then in which proportion two types of rice m

Algebra ->  Proportions  -> Lessons -> SOLUTION: If one type of rice cost is Rs.13.84 Another type rice cost is Rs15.54. Mixture is sold at Rs17.6 with profit of 14.6% of selling price Then in which proportion two types of rice m      Log On


   

Question 986156: If one type of rice cost is Rs.13.84 Another type rice cost is Rs15.54. Mixture is sold at Rs17.6 with profit of 14.6% of selling price Then in which proportion two types of rice mixed
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The price for the cost was 17.6-0.146%2817.6%29=15.0304 Rs, and reader would need to guess that this is PER UNIT of this rice mixture.

No specific quantities of rices were used nor given, and one must pick some unit and some quantity of this unit in order to calculate.

Assume the amount of mixture were 100 units, maybe pounds, kilograms, stones, ounces, bushels, or whatever. Here, it is just being called "units". There becomes 100 units of mixture at Rs 15.0304 per unit, PRICE. This is the price WITHOUT counting the profit.

x, amount of the Rs 13.84 per unit rice
y, amount of the Rs 15.54 per unit rice

system%28%2813.84x%2B15.54y%29%2F100=15.0304%2Cx%2By=100%29
That is the system to solve, and you can then focus attention on the ratio of x and y. To make the work a little easier, take the mass or quantity sum equation and solve for either variable in terms of the other and substitute into the price equation and then solve for the single variable.

y=100-x
-
13.84x%2B15.54%28100-x%29=100%2A15.0304
13.84x%2B1554-15.54x=1503.04
%2813.84-15.54%29x=1503.04-1554
x=%281554-1503.04%29%2F%2815.54-13.84%29
x=50.96%2F1.7
highlight%28x=29.98%29-----UNITS of the cheaper rice ingredient
and you can find y....

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Review the question and solution several times. We MUST have a quantity of mixture. We are not given a quantity of mixture, but we are asked to find a ratio for the two ingredient materials (the rices). I chose the 100 units of resulting rice mixture. We must have a quantity of the mixture, even if it were to remain as only a variable. I CHOSE a quantity. You could choose 10 units; or 1000 units; or 1 unit; or 34.5 units; or 8 units; but a quantity of mixture MUST be used.