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In an entertainment programme, 250 tickets of ₹ 400 and 500 tickets of ₹ 100 were sold. If the entertainment tax is 40% on ticket of ₹ 400 and 20% on ticket of ₹ 100

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Question

In an entertainment programme, 250 tickets of ₹ 400 and 500 tickets of ₹ 100 were sold. If the entertainment tax is 40% on ticket of ₹ 400 and 20% on ticket of  ₹ 100, find how much entertainment tax was collected from the programme.

Sum
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Solution

It is given that, 250 tickets of ₹ 400 were sold, Therefore, total amount received by selling these tickets = 250 × 400 = ₹ 100000

Similarly, amount received by selling 500 tickets of ₹ 100 = 500 × 100 = ₹ 50000

It is also given that, 40% and 20% of entertainment tax is on ₹ 400 and ₹ 100 tickets, respectively.

So, total entertainment tax collected

= 40% of total amount received by selling tickets of ₹ 400 + 20% of total amount received by selling tickels of ₹ 100

= 40% of 100000 + 20% of 50000

= `40/100 xx 100000 + 20/100 xx 50000`

= 40000 + 10000

= ₹ 50000

Hence, the total collected entertainment tax was ₹ 50000.

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Chapter 7: Comparing Quantities - Exercise [Page 208]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 7 Comparing Quantities
Exercise | Q 113. | Page 208

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