Gucci company is selling a new brand of cologn with two different size bottles.lf a$100$ ml bottle at selling price of $$150$ costs the company $$75$ per bottle and a $200$ ml bottle at selling price of $$200$ dollars costs the company $$100$ per bottle. The operating profit is $40\%$ at selling price.

a$.$ compute the mark up for both size bottles

b$.$ compute the operating expense for both size bottles

c$.$ compute the rate of mark up at cost and at selling price