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