A school organised an essay competition and decided that a winner in the competition would get a price of rupees 1000, and participant who does not win would get a price of rupees 200 the total prize money distributed is rupees 16000. find the number of winners if the total number of participants is 40.
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Step-by-step explanation:
x be the number of winners.
Then the number of participants who do not win is given as (63 – x)
The prize money given to x winners = Rs ( 100x)
The prize money given to (63 – x) participants is = Rs 25(63 – x)
According to the given data, the total prize money distributed = Rs 3000
Therefore, 100x + 25(63 – x) = 3000
4x + (63 – x) = 120
3x + 63 = 120
x = 19
Therefore, the number of winners is 19
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