Question

a total of rs 10000 is distributed among 150 persons as a gift. a gift is either of rs 50 or rs 100. find the no of each type of note.

Answer 1

Total persons=150
Let no. of persons getting 50: x
Then , no.of persons getting 100 : (150-x)
Total amount : 50x + 100(150-x)
But , Total amount = 10,000
50x-100x+15000=10000
50x=5000
Hence , x=100 , (150-x)=50
Hence , 100 persons got 50 and 50 persons got 100

Answer 2

Answer:

the number of Rs.50 prizes is 100 and the number of Rs.100 prizes is 50

Step-by-step explanation:

Given :A total of rs 10000 is distributed among 150 persons as a gift. a gift is either of rs 50 or rs 100.

To Find :  Find the no of each type of note.

Solution:

let x be the number of Rs.50 prizes

let y be the number of Rs.100 prizes

Since we are given that the prizes are distributed among  150 persons

So, $x+y=150$  ------1

Now we are given that A total of rs 10000 is distributed

So, $50x+100y=10000$    ---2

Substitute the value of x from 1 in 2

$50(150-y)+100y=10000$  

$7500-50y+100y=10000$  

$7500+50y=10000$  

$50y=10000-7500$  

$50y=2500$  

$y=\frac{2500}{50}$  

$y=50$  

Substitute the value of y in 1 to get value of x

$x+50=150$

$x=100$

Hence the number of Rs.50 prizes is 100 and the number of Rs.100 prizes is 50