Question

Total footfall is 3,000. 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. ₹310
• B. ₹290
• C. ₹280
• D. ₹300

Answer 1

The correct option is A ₹310

From the graph consider the points $(100,500)$ and $(300,900)$
The slope here indicates the cost per ticket.
You know,
Slope = unit rate = $\frac{y_2-y_1}{x_2-x_1}$
Putting values you get,
Slope = $\frac{900-500}{300-100}$
= $\frac{400}{200}$
= $2$

Total footfall is $3000$
So, total amount from tickets = $2\times 3000$ = $₹6000$
Tax levied is 5%.
So, tax amount on tickets
= $5\%\times ₹6000$
= $\frac{5}{100}\times ₹6000$
= $₹300$

Amount donated = y intercept = $₹300$
Tax levied is 10% in excess of 200.
∴ Tax on donations
= $10\%\times (₹300-₹200)$
$=\frac{10}{100}\times ₹100$
$=₹10$

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