Question

a total of RS 50000 is to be distributed among 200 persons as prizes A prize is either rs 500 or Rs 100. Find the number of each type of prices. Please give me answer

Answer 1

Answer:

75,125

Step-by-step explanation:

Given total number of persons = 200.

Let the prize of 500 be given to 'x' persons.

Let the prize of 100 be given to (200 - x) persons.

Given that total worth of prizes = 50000.

⇒ 500x + 100(200 - x) = 50000

⇒ 500x + 20000 - 100x = 50000

⇒ 400x = 50000 - 20000

⇒ 400x = 30000

⇒ x = 75.

Therefore:

⇒ Number of persons who received rs.500 as prize = 75

⇒ Number of persons who received rs.100 as prize = (200 - 75) = 125.

Hope it helps!

Answer 2

let us take the no of person getting rs500 = x
and no of person getting rs 100 = y


therefore x+ y = 200. (1)

and 500× x + 100× y = 50000

5x + y = 500. (2)

subtracting (1) from (2)

5x + y - x -y = 500 - 200
4x= 300
x= 75. (3)

substitute (3) in (1)

75+y = 200
y = 125