Coffee *A *and coffee *B *are mixed in the ratio *x*：*y *by weight. *A *costs $50/kg and *B *costs $40/kg. If the cost of *A *is increased by 10% while that of *B *is decreased by 15%, the cost of the mixture per kg remains unchanged.

Find *x *:*y *

A. 2 : 3

B. 5 : 6

C. 6 : 5

D. 3 : 2

E. 55 : 34

### 1 Answer | Add Yours

According to the given data we can derive the following equations.

Cost of coffee mixture `= 50x+40y ----(1)`

It is given that the cost of *A *is increased by 10% while that of *B *is decreased by 15%.

Cost of Coffee A `= 50+50/100xx10 = 55`

Cost of coffee B `= 40-40/100xx15 = 34`

Since the cost of coffee remains same;

Cost of coffee mixture `= 55x+34y ----(2)`

(1) = (2)

`50x+40y= 55x+34y`

`6y = 5x`

`6/5 = x/y`

`x:y = 6:5`

*So the ratio of x:y = 6:5 and the correct answer is at C)*

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