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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.
Solution
Let the number of tickets of ₹ 100 be x.
Number of tickets of ₹ 200 = x + 20
From the given information,
100(x) + 200 (x + 20) = 37000
⇒ 100x + 200x + 4000 = 37000
⇒ 300x = 37000 - 4000
⇒ 300x = 33000
⇒ x = 110
∴ The number of tickets of ₹ 100 = 110.
Number of tickets of ₹ 200 = 110 + 20 = 130.
Hence, the number of tickets of ₹ 100 is 110.
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