A total of Rs 5000 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 prizes.
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Given:- Total number of persons =200
Total Prize money to be distributed = Rs 80,000
Let Number of Rs 500 prize distributed =x
Therefore, Number of Rs 200 prize distributed = (200 - x)
Now, Total prize money = Total Rs 500 money prize given to x person + Total Rs 100 money prize given to (200 - x) person
⇒ 500 x + (200 - x) 100 = 80000
⇒ 500 x + 20000 – 100 x =80000
⇒ 400 x = 80000 – 20000
⇒ x = 150
Therefore (200 - x)= 200 - 150 = 50 person got Rs 100 prize.
Hence 150 persons got Rs 500 prize money and 50 person got Rs 100 prize money.
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