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.

Total Pizza sold by P , R and S together in 2018 are what percent of total Pizza sold by P and Q together in 2017?

The correct option is 245%.

From the pie chart given in the question, we can extract the percentage share of total pizzas sold by each of the five outlets (P, Q, R, S, and T) in 2017:

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

Note: As per the standard set of data for this set of questions, total pizza sales in 2018 are 40% more than the total pizza sales in 2017, while keeping the percentage distribution across the outlets the same.

Let the total number of pizzas sold in 2017 be $x$.

Then, the total number of pizzas sold in 2018 is:

$\text{Total Sales in 2018}=x+0.40x=1.40x$

Step 1: Calculate the total pizzas sold by P, R, and S together in 2018

Combined percentage for P, R, and S = 30% + 24% + 16% = 70%

$\text{Sales by (P + R + S) in 2018}=70\%\text{of}1.40x$

$=0.70\times 1.40x=0.98x$

Step 2: Calculate the total pizzas sold by P and Q together in 2017

Combined percentage for P and Q = 30% + 10% = 40%

$\text{Sales by (P + Q) in 2017}=40\%\text{of}x=0.40x$

Step 3: Calculate the required percentage

$\text{Required Percentage}=\left(\frac{0.98x}{0.40x}\right)\times 100$

$=\left(\frac{0.98}{0.40}\right)\times 100$

$=2.45\times 100=245\%$