Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Three consecutive integers add up to 51. What are these integers?
The sum of three consecutive multiples of 8 is 888. Find the multiples.
Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
What should be added to twice the rational number `(-7)/3 "to get" 3/7`?
Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of Rs. 77, how many coins of each denomination does he have?
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is ______.
Hamid has three boxes of different fruits. Box A weighs `2 1/2` kg more than Box B and Box C weighs `10 1/4` kg more than Box B. The total weight of the three boxes is `48 3/4` kg. How many kilograms (kg) does Box A weigh?
The perimeter of a rectangle is 240 cm. If its length is increased by 10% and its breadth is decreased by 20%, we get the same perimeter. Find the length and breadth of the rectangle.
A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.
On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, B’s share is?
