Question

A shopkeeper sells some television sets and A/C sets every day. He wants to earn a profit of at least Rs 10000 each week. For this, he must sell 20 television sets and 30 A/C sets every week or he must sell 50 television sets and 10A/C sets every week. Express this situation

Answer 1

Let the profit on each television set be Rs x and the profit on each A/C be Rs y.

It is given that to earn a profit of at least Rs 6500, the shopkeeper should sell 20 television set and
30 A/C sets every week.
Hence, the total profit earned by the shopkeeper by selling 20 television
sets and 30 A/C sets is Rs (20x + 30y).
Thus, 20x + 30y ≥ 10000
In either condition, it is given that to earn a profit of at least Rs 10000, the shopkeeper should sell
50 television sets and 10 A/C sets every week.
Hence, the total profit earned by the shopkeeper
by selling 50 television sets and 10 A/C sets is Rs (50x + 10y).
Thus, 50x + 10y ≥ 10000.
Hence, the given situation can be expressed mathematically by the following two inequalities:
20x + 30y ≥ 10000 and 50x + 10y ≥ 10000