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Question 113

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


Solution

It is given that, 250 tickets  ₹ 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= 150000
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 tickets of   100
=40% of 100000 + 20% of 50000
=40100×100000+20100×50000=40000+10000
=   50000 
Hence, the total collected entertainment tax was 50000.


Mathematics

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