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

Correct answer:
B) 20

Description for Correct answer:
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

Please provide the error details in above question

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