Question

some students planned a picnic.the 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

how much money they spent for travelling a)  rs 500 b)  rs 800 c)  rs 1000 d)  rs 3750 ​

Answer 1

Answer:

Step-by-step explanation:

Let the number of students be ‘x’

2000x = (x – 5) (2000 + 20x)

2000x = 2000x + 20x² – 10000 – 100x

0 = 20x² – 10000 – 100x

20x² – 10000 – 100x = 0

x² – 500 – 5x = 0

x² – 25x + 20x – 500 = 0

x (x – 25) + 20 (x – 25) = 0

(x + 20) (x – 25) = 0

x = –20, 25

Since, number of students is not negative, x = 25

Total number of students = 25

Number of students who attended the picnic = 25 – 5 = 20

Thus, cost for one student = Rs 2000 ÷ 20 = Rs 100

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