Advertisements
Advertisements
Question
The organizers of an essay competition decide that a winner in the competition gets a prize of Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3000. Find the number of winners, if the total number of participants is 63.
Advertisements
Solution
Let the number of winners be x. Therefore, the number of participants who did not win will be 63 − x
Amount given to the winners = Rs (100 × x) = Rs 100x
Amount given to the participants who did not win = Rs [25(63 − x)]
= Rs (1575 − 25x)
According to the given question,
100x + 1575 − 25x = 3000
On transposing 1575 to R.H.S, we obtain
75x = 3000 − 1575
75x = 1425
On dividing both sides by 75, we obtain
`(75x)/75 = 1425/75`
x = 19
Hence number of winners = 19
APPEARS IN
RELATED QUESTIONS
Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is ______.
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p years.
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
Kaustubh had 60 flowers. He offered some flowers in a temple and found that the ratio of the number of remaining flowers to that of flowers in the beginning is 3:5. Find the number of flowers offered by him in the temple.
The sum of four consecutive integers is 266. What are the integers?
For what value of x is the perimeter of shape 77 cm?
For what value of x is the perimeter of shape 186 cm?
