Some tickets of Rs 200 and some of Rs 100, of a drama in a theatre wer

1.	Some tickets of Rs 200 and some of Rs 100, of a drama in a theatre were sold. The number of tickets of Rs 200 sold was 20 more than the number of tickets of Rs 100. The total amount received by the theatre by sale of tickets was Rs 37000. Find the number of Rs 100 tickets sold.
Answer» Let the number of tickets sold of Rs 100 be x. The number of tickets of Rs 200 sold was 20 more than the number of tickets of Rs 100. ∴ Number of tickets sold of Rs 200 = (x + 20) ∴ Total amount received by the theatre through the sale of tickets = 100 × x + 200 × (x + 20) = 100x + 200x + 4000 = 300x + 4000 Since, the total amount received by the theatre through the sale of tickets = Rs 37000 ∴ 300x + 4000 = 37000 ∴ 300x = 37000 – 4000 ∴ 300x = 33000 ∴ x = 110 ∴ 110 tickets of Rs 100 were sold.

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

Answer»

Let the number of tickets sold of Rs 100 be x.

The number of tickets of Rs 200 sold was 20 more than the number of tickets of Rs 100.

∴ Number of tickets sold of Rs 200 = (x + 20)

∴ Total amount received by the theatre through the sale of tickets

= 100 × x + 200 × (x + 20) = 100x + 200x + 4000 = 300x + 4000

Since, the total amount received by the theatre through the sale of tickets = Rs 37000

∴ 300x + 4000 = 37000

∴ 300x = 37000 – 4000

∴ 300x = 33000

∴ x = 110

∴ 110 tickets of Rs 100 were sold.