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Question

Total footfall is 3000. Tax levied on the tickets is 5% and that on donations above $200 is 10%. From the graph below, the total tax levied will be


A
$300
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B
$310
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C
$290
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D
$280
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Solution

The correct option is B $310
From the graph consider the points (100, 500) and (300, 900)


The slope here indicates the cost per ticket.
Slope = unit rate = y2y1x2x1

Putting values you get,
Slope = 900500300100
=400200
=2

Total footfall is 3000.

So, total amount from tickets = 2×3000 =$6000

Tax levied is 5%.

So, tax amount on tickets
=5%×$6000
=5100×$6000
=$300

Amount donated = y intercept = $300


Tax levied is 10% in excess of $200.

∴ Tax on donations will be:
=10%×($300$200)
=10100×$100
=$10

So, Total tax paid = Tax on tickets + Tax on donations
=$10+$300
=$310

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