Profit Percentage = Profit/Cost Price x 100
Selling Price = Cost Price + Profit
Profit = Selling Price - Cost Price
Let x = Cost Price
Profit = Selling Price - x
Selling Price = 44
Profit = 44 - x
Profit Percentage = Profit/Cost Price x 100
Profit Percent = 10%
Multiply both sides of the equations by x
10 x x = (44 - x) x 100
10 x x = 44 x 100 - x x 100
10x = 4400 - 100x
Solve for x
10x + 100x = 4400
110x = 4400
Divide both sides of the equation by 110
x = 40
Cost price = GH₵ 40.001
ALTERNATIVELY
Cost Price Percentage = 100%
Selling Price Percentage = Profit % + Cost Price Percentage
Profit % = 10%
Selling Price % = 10% + 100% = 110%
Selling Price = 44
Let x = Cost Price
110% (Selling Price Percentage) = 44
100% (Cost Price Percentage) = x
Cross multiply and solve for the value of x
x x 110 = 44 x 100
Divide both sides by 110
x = 4400/110
x = 40
Cost Price = GH₵ 40.00