Question 1177284
the sale price is equal to 74.
let the cost be equal to x.


the selling price is a 51% markup over the cost.
this means that 74 = x + .51 * x which becomes 74 = 1.51 * x
51% is the percent markup.
.51 is the markup rate.
rate = percent / 100.


solve for x to get x = 74 / 1.51 =  49.00662252.


the cost + .51 * cost is equal to 1.51 * cost which is equal to 49.00662252 * 1.51 which is equal to 74.


this confirms the cost has been calculated correctly.


your solution is:


the cost is 49.00662252 and the markup is equal to .51 * that = 24.99337748.


to confirm:


markup / cost = 24.99337748 / 49.99552252 = .51 = 51%.
cost plus markup = selling price becomes 49.00662252 + 24.99337748 = 74



the solution is confirmed to be good.