a total of Rs 80000 is to be distributed among 200 person as prices. price is either of rupees 500 rupees or 100 .find the number of each price
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price is 500 RS = X
price of 100 RS = 200-x
then money needed for total prizes of 500 is 500x
money needed for total prizes of 100 is ( 200-x) *100
according to the question
500x + 100(200-x) = 80000
500x + 20000-100x = 80000
400x = 60000
X = 150
so prizes of 500 = 150
prizes of 100 = 50
price of 100 RS = 200-x
then money needed for total prizes of 500 is 500x
money needed for total prizes of 100 is ( 200-x) *100
according to the question
500x + 100(200-x) = 80000
500x + 20000-100x = 80000
400x = 60000
X = 150
so prizes of 500 = 150
prizes of 100 = 50
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