Problema Solution

Suppose you own a card shop. You buy one line of cards at a rate of 4 cards for $5. You plan to sell thecards at a rate of 3 for $5. How many cards must you sell to make a profit of $100?

Answer provided by our tutors

Let


x = the number of cards i must sell to make $100 profit


If I buy 4 cards for 5$ then the buy price of 1 card is $5/4.


If I sell 3 cards for 5$ then the sell price of 1 card is $5/3.


The profit that i will make from selling one car is = sell price - buy price.


If I buy x cards the total profit will be


x*(5/3 - 5/4) = 100


x = 240 cards


I must sell 240 cards.