Problema Solution

John a retail merchant invested Php 195000 in three kinds of cameras , the profit on the sales of camera A was 25%:on the sales of camera B, 12% profit: and there was a loss of 1% on the sales of camera C. If John invested an equal amount in cameras A & B, an overall profit on the total investments was 14%, how muchwas invested on each kind of camera?

Answer provided by our tutors

let


a = the money invested in camera A


b = the money invested in camera B


c = the money invested in camera C


John a retail merchant invested Php 195000 in three kinds of cameras:


a + b + c = 195000


John invested an equal amount in cameras A & B:


a = b


overall profit on the total investments was 14%


0.25a + 0.12b - 0.01c = 0.14*195000


by solving the system of equations:


a + b + c = 195000


a = b


0.25a + 0.12b - 0.01c = 0.14*195000


we find:


a = $75,000


b = $75,000


c = $45,000


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$75,000 were invested in each of the camera A and camera B


$45,000 was invested in camera C.