Question

A total of rupees 80000 is to be distributed among 200 persons as lrizes a prize js either of rupees 500 or 100.find the number of each prize

Answer 1

Let the no. of people to get 500 and 100 rupees notes respectively be x and y.
Then, we get the following equations-

1. (no. of people who get prizes)
-- x+y=200
-- y=200-x

2. (total amount to be given)
-- 500x + 100y = 80000

If y = 200-x, then -
500x + 100(200-x) = 80000
500x + 20000 - 100x = 80000
400x = 80000 - 20000
400x = 60000
x = 60000/400
x = 600/4
x = 150

y = 200 -x
y = 200-150
y=50

Therefore, the no. of each price is 150 for Rs. 500 and 50 for Rs.100.

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