Question

Some children planned for a donation to an orphanage . The total amount to be donated was Rs. 2400. Because four children failed to pay donation , the amount of donation to be paid by each child was increased by Rs. 50 . how many chidren donated for the fund ? what value is indicated in this question?

Answer 1

total amount is 2400
4 childrens are unable to pay
4*50= 200
2400-200= 2200
2200/50=50students

Answer 2

Answer:200

Step-by-step explanationLet number of children be n.

Since 4 children failed to donate then total children donated are n - 4

The money donated by each increased by 50,

The equation formed is

taking reciprocal ,we get

So we have

⇒ 4 × 48 = n2- 4n

⇒ n2- 4n -192 = 0

⇒ n(n - 16) + 12(n - 16)

⇒ n = -12,16 , we consider only positive value, as students cannot be negative

so total students are 16

students donated are 16 - 4 = 12

and each student donated = 2400/12

= 200: