Answer to Question #341088 in Financial Math for Shendee

Question

Lemuel bought bottles of food supplements at Php 1 800 each. He is planning to sell this at 15% markup on cost. At this selling price and a fixed cost of Php 40 000, how many bottles of food supplement must he sell to be able to breakeven? If he wants to earn a minimum of Php 100 000 by just selling these bottles, how many bottles must he sell?

Answer 1

Solution:

Assume that he sells x bottles of food supplement:

$$1800x+40000 = 1800(1+15\% ) x$$ $$270 x = 40000$$ $$x=148$$

Earn Php 100000:

$$1800x+4000+100000=1800(1+15\%)x$$ $$270x=140000$$ $$x=518$$