SOLUTION: 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 sell

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): You can put this solution on YOUR website!

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?

The following PROPORTION is all that needs to be set up: , with P being PROFIT Cross-multiplying, we get PROFIT from selling 7,000 radios, or

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