Some students planned a picnic. The total budget for picnic was Rs 2000 but 5 students failed to attend the picnic and thus the contribution for each student is increased by Rs 20.



If x is the number of students planned for picnic, which is the correct quadratic equation that describe the situation.

Options

A. `x^(2)-5x-500=0`
B. `x^(2)+4x-400=0`
C. `x^(2)+5x-500=0`
D. `x^(2)-4x+400=0`

Answer

A

Explanation

We have `" "(2000)/(x)+20=(2000)/(x-5)`
`2000(x-5)+20x(x-5)=2000x`
`-10000+20x^(2)-100x=0`
`x^(2)-5x-500=0`
Thus (a) is correct option.