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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 a ticket of ₹400 and 20% on a ticket of ₹100, find how much entertainment tax was collected from the programme.

Solution:

Given, 250 tickets of ₹400 and 500 tickets of ₹100 were sold in an entertainment programme.

The entertainment tax is 40% on tickets of ₹400 and 20% on tickets of ₹100.

We have to find the entertainment tax collected from the programme.

(i) considering 250 tickets of ₹400,

Total cost on selling 250 tickets = ₹400 × 250 = ₹100000

Entertainment tax = 40% of ₹100000

= (40/100) ×100000

= 40 × 1000

= ₹40000

(ii) considering 500 tickets of ₹100,

Total cost on selling 500 tickets = ₹100 × 500 = ₹50000

Entertainment tax = 20% of 50000

= (20/100) × 50000

= 20 × 500

= ₹10000

Total entertainment tax = 40000 + 10000

= ₹50,000

Therefore, the required amount is ₹50,000.

✦ Try This: A sum of money, lent out at simple interest, doubles itself in 8 years. Find in how many years will the sum become triple (three times) of itself at the same rate per cent ?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8

NCERT Exemplar Class 7 Maths Chapter 7 Problem 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, find how much entertainment tax was collected from the programme.

Summary:

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, the entertainment tax collected from the programme was ₹50,000.

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