Question

100 tickets were sold in an theatre on sunday. The cost of ticket for a child is Rs. 10 and for an adult is Rs. 20. The total amount collected on sunday was Rs. 200. find the number of ticket sold on sunday.

• A. Rs. $100$
• B. Rs. $120$
• C. Rs.$180$
• D. Rs. $200$

Answer 1

The correct option is C Rs.$180$

Let the cost of an adult ticket = x
The cost of an child ticket = y
Then form an first equation as,
$x+y=100$ ----- (1)
$10x+20y=200$ ---- (2)
By solving the equation (1)
$y=100-x$
Put the value of y in equation (2)
$10x+20(100-x)=200$
$10x+2000-20x=200$
$-10x=200-2000$
$-10x=-1800$
$x=180$
Therefore the cost of a child ticket = Rs. 180