Question

A total of rs50000 is to be distrbuted among 200person as prizes .A prizes is either rs 500or rs100.find the number of each type of prizes​

Answer 1

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

Money distributed to the number of persons = 200 persons

Let the number of Rs. 500 notes distributed to person be x

Let the number of Rs. 100 notes distributed be y

x + y = 200

y = 200 - x --- eq(1)

Money distributed to persons in Rs. 500 denomination = Rs. 500x

Money distributed to persons in Rs. 100 denomination = Rs. 100y

Total money distributed to person = Rs. 50000

500x + 100y = 50000

500x + 100(200 - x) = 50000 (Since eq(1))

500x + 20000 - 100x = 50000

400x + 20000 = 50000

400x = 50000 - 20000

400x = 30000

x = 30000/400

x = 300/4

x = 75

Therefore Number of Rs. 500 notes = x = 75

Number of Rs. 100 notes = 200 - x = 200 - 75 = 125

Therefore Rs. 100 notes are 125 in number and Rs. 500 notes are 75 in number.