Question

Some tickets of ₹ 200 and some of ₹ 100, of a drama in a theatre were sold. The number of tickets of ₹ 200 sold was 20 more than the number of tickets of ₹ 100. The total amount received by the theatre by sale of tickets was ₹ 37000. Find the number of ₹ 100 tickets sold.

Answer 1

Let the number of tickets of ₹ 100 be x.
Number of tickets of ₹ 200 = x + 20

From the given information,

$$\begin{gathered} 100\left(x\right)+200\left(x+20\right)=37000 \\ \therefore 100x+200x+4000=37000 \\ \therefore 300x=37000-4000 \\ \therefore 300x=33000 \\ \therefore x=110 \end{gathered}$$

∴ The number of tickets of ₹ 100 = 110.
Number of tickets of ₹ 200 = 110 + 20 = 130.

Hence, the number of tickets of ₹ 100 is 110.