Question

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The organisers of an essay competition deciede that a winner in the competition get surprised at rupees hundred and a participant who does not win get a price of rupees 25.The total prize money distributed is rupees 3000.Find the number of winners if the total number of participants is 63 .

Class 8 CBSE
Linear equations in one variable
Exercise 3.2.​

Answer 1

Step-by-step explanation:

Let the number of winners be x. therefore, the number of participants who did not win = 63 - x.

Each winner gets Rs. 100 as prize money, therefore

Total amount given to winners be Rs 100x

Then, Amount given to the participants who did not win = Rs 25(63 - x) = Rs 1575 – 25x

Total Amount distributed = Rs. 3000

100 x + 1575 – 25 x = 3000

75 x = 3000 – 1575

75 x = 1425

Thus, the number of winners are 19.

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Answer 2

Step-by-step explanation:

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