for abrar ul haq show the rate of an adult pass is rs 20 more than the children pass. when a company sold 50 adult passess and 200 children passess , the amount collected re. 2250. find the rice of an adult pass.
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let childern passs rate is x
then adult pass price will be (x+20)
as adult price is RS. 20 more than the childern pass price
now
200 childern passes are sold
200*x =200x
and 50 adult passes are sold
50*(x+20)
=50x+1000
now total price is 2250
2250=200x+50x+1000
2250=250x+1000
250x=2250-1000
250x=1250
x=1250/250
x=5
now x = childern
so childern pass price is 5
and adult price is 20 more then the childern
so
5+20=25
adult price is 25
To find the price of an adult pass, let's set up the equation:
Let's say the price of a children pass is "x" rupees.
According to the given information, the rate of an adult pass is Rs 20 more than the children pass. Therefore, the price of one adult pass would be "x + 20" rupees.
Now, let's calculate the amount collected by selling the passes:
The company sold 50 adult passes, so the total amount collected from adult passes would be 50 * (x + 20) rupees.
The company also sold 200 children passes, so the total amount collected from children passes would be 200 * x rupees.
According to the problem, the total amount collected is Rs 2250.
So, we have the equation:
50 * (x + 20) + 200 * x = 2250
Now, let's solve this equation.
50x + 1000 + 200x = 2250
250x + 1000 = 2250
250x = 2250 - 1000
250x = 1250
x = 1250 / 250
x = 5
Therefore, the price of a children pass is Rs 5.
To find the price of an adult pass, we can substitute the value of "x" into the equation:
Price of an adult pass = x + 20 = 5 + 20 = Rs 25.
So, the price of an adult pass is Rs 25.