Question

Raghu has enough money to buy 75 machines worth Rs 200 each. How many machines can he buy if he gets a discount of Rs 50 on each machine?

Answer 1

Let x be the number of machines he can buy if a discount of Rs. 50 is offered on each machine.

Number of machines	75	x
Price of each machine (in Rs)	200	150

\[\text{ Since Raghu is getting a discount of Rs 50 on each machine, the cost of each machine will get decreased by Rs 50 } . \]
\[\text{ If the price of a machine is less, he can buy more number of machines .}  \]
\[\text{ It is a case of inverse variation . Therefore, we have:}  \]
\[75 \times 200 = x \times 150\]
\[ \Rightarrow x = \frac{75 \times 200}{150}\]
\[ = \frac{15000}{150}\]
\[ = 100\]
\[ \therefore \text{ The number of machines he can buy is 100 } .\]