Question 1159947: A company that sells pocket radios makes a profit of R 12 000 on the first 500 radios sold.
Assuming that all prices remain the same, how much profit do you expect to make on selling 7000
radios?
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the company makes a profit of 12,000 on the first 500 radios sold.
when 7000 are sold at the same price, then the profit would be 12,000 / 500 * 7000 = 168,000.
another way to say it is that 12,000 / 500 = a profit of 24 for each raio sold.
7000 * 24 = a total profit of 168,000.
you can also solve this by using the direct variation formula of y = k * x.
y is the profit and x is the number of radios sold.
first you solve for k using the values you know.
then you solve for y with the new value of x.
when y = 12000 and x = 500, the formula becomes 12,000 = k * 500
solve for k to get k = 12,000 / 500 = 24
when x = 7000, use the formula with the constant of variation that is equal to 24 to get y = 24 * 7000.
solve for y to get y = 168,000.
you can also solve this by using the direct ratio formula of 12,000 / 500 = x / 7000.
cross multiply to get 12,000 * 7000 = 500 * x
solve for x to get x = 12,000 * 7000 / 500 = 168,000.
Answer by MathTherapy(10555)  (Show Source):
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