Q: How do you find the cost price if the sales are $216,000 and the mark-up is 50%?
A: "Mark-up" literally means the amount you "mark up" the cost by. This means the amount you increase the cost by to get to the selling price, and is expressed as a percentage of the cost.
"Mark-up" is basically another way of saying the profit - the difference between the sales price and the cost - but specifically referring to the cost as the starting point or basis of the calculation.
In this example the profit (mark-up) is 50% of the cost price. For the purpose of our calculation, the cost will amount to 100% since it is our starting point or basis.
If we put all this into an equation this simplifies to:
Mark-up / Cost = 50/100
Now let's substitute that first equation above into a general equation for sales, cost and mark-up: