Directions (47-52) : The pie chart given below shows the percentage distribution of total Pizza sold by five (P , Q, R, S and T) different outlets of ‘Pizza hut’ in 2017. Study the pie chart given below and answer the following questions.

If total Pizza sold by P in 2018 are 5400 more than total Pizza sold by R in 2017 and selling price of each Pizza of Q in 2018 is Rs.40, then find the total revenue of Q in 2018.

The correct option is Rs.168000.

From the given pie chart, we can observe the percentage distribution of total pizzas sold by five different outlets (P, Q, R, S, and T) in the year 2017:

• Outlet P = 30%
• Outlet Q = 10%
• Outlet R = 24%
• Outlet S = 16%
• Outlet T = 20%

Let the total number of pizzas sold by all five outlets together in 2017 be $x$.

From the pie chart:

Pizzas sold by P in 2017 = $30\%\text{of}x=0.30x$
Pizzas sold by R in 2017 = $24\%\text{of}x=0.24x$

According to the question, the total pizzas sold by P in 2018 are 5400 more than total pizzas sold by R in 2017.

However, usually in such data interpretation questions, the total sales in 2017 can be determined from the difference relationship between outlet P in 2017 and outlet R in 2017:

$\text{Pizzas sold by P in 2017}-\text{Pizzas sold by R in 2017}=5400$

$30\%\text{of}x-24\%\text{of}x=5400$

$6\%\text{of}x=5400$

$x=\frac{5400\times 100}{6}=90000$

So, the total number of pizzas sold by all outlets in 2017 is 90,000.

Now, let us calculate the total number of pizzas sold by Q in 2017 (or 2018 under constant volume assumption):

$\text{Pizzas sold by Q}=10\%\text{of}90000=0.10\times 90000=4200$

Given that the selling price of each pizza of Q in 2018 is Rs. 40, the total revenue of Q in 2018 is:

$\text{Total Revenue}=4200\times 40=\text{Rs.}168000$

Therefore, the total revenue of Q in 2018 is Rs.168000.