Question

a man losses 50/3 on cost.how much does this represent on sale?​

Answer 1

Answer: 20% on sales.

Step-by-step explanation:   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.

Answer 2

it represents 26.6 percent