Question 902568: A man loses 50/3 % on cost. how much does this represent on sales
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! rate = percent / 100%.
50/3 percent means a rate of 50/300 which is a rate of 1/6 after you simplify it.
loss = 50/3 percent of cost translates to:
loss = 1/6 * cost
this means that loss / cost = 1/6.
we want to find loss / sales
we know that sales = cost - loss
so loss / sales is equivalent to loss / (cost - loss)
we know that loss is equal to 1/6 * cost, so the equation becomes:
loss / sales = loss / (cost - loss) = loss / (cost - 1/6 * cost) which becomes:
loss / sales = loss / (5/6 * cost)
since loss is equal to 1/6 * cost, we get:
loss / sales = (1/6 * cost) / (5/6 * cost) which becomes:
loss / sales = 1/5 which is equal to 20%.
let's see if this works.
you take a loss of 50/3 percent of cost.
let's assume your cost is 1200 dollars.
you take a loss of 50/3 percent of the cost which is a loss of 200 dollars.
200 / 1200 = 1/6 which is equal to 100/6 percent which is equal to 50/3 percent so the numbers check out.
so you took a loss of 200 dollars and your cost was 1200 dollars which means you sold for 1000 dollars.
the percent loss on sales is therefore 200 / 1000 = .2 which is equal to 20%.
i believe that's the figure we calculated above so the formula is good.
your solution is:
a loss of 50/3 percent on cost is equivalent to a loss of 20% on sales.
|
|
|
