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Some students planned a picnic. The budget for food was Rs. 500. But, 5 of them failed to go and thus the cost of food for each member increased by Rs. 5. How many students attended the picnic ?

 A) 15 B) 20 C) 25 D) 30

 B) 20

Number of students who went on picnic = x

Students who planned = x + 5

$$\Large \therefore \frac{500}{x} - \frac{500}{x + 5} = 5$$

=> $$\Large 500 (\frac{1}{x} - \frac{1}{x+ 5} ) = 5$$

=> $$\Large 500 (\frac{x + 5 - x}{x (x + 5)} ) = 5$$

=> x (x + 5) = 500 = 20 (20 + 5)

=> x = 20

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