SSC (English Medium) Class 8Maharashtra State Board
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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 - SSC (English Medium) Class 8 - Mathematics

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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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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 12: Equations in one variable
Practice Set 12.2 | Q: 6 | Page no. 80
Solution 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 Concept: Word Problems of Equation in One Variable.
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