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.

Note: I- Total Pizza sold by these five outlets in 2018 is 40% more than total Pizza sold by these five outlets in 2017.
II -Percentage distribution of total Pizza sold by these five outlets in 2018 is same as that of in 2017.

Total Pizza sold by S and T together in 2018 are what percent (Approx.) more or less than total Pizza sold by Q and R together in 2017?

Correct Answer: 48% (Approx. 48%)

Step-by-step explanation:

From the given pie chart, the percentage distribution of total pizza sold by five outlets (P, Q, R, S, and T) in the year 2017 is as follows:

• 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 $X$.

Step 1: Calculate total pizzas sold by Q and R together in 2017.

Percentage of pizzas sold by Q in 2017 = 10%

Percentage of pizzas sold by R in 2017 = 24%

Combined percentage for Q and R in 2017 = $10\%+24\%=34\%$

Total pizzas sold by Q and R in 2017 = $0.34X$

Step 2: Calculate total pizzas sold by S and T together in 2018.

According to Note I, total pizzas sold by all five outlets in 2018 is 40% more than in 2017:

$\text{Total pizzas in 2018}=X\times (1+0.40)=1.40X$

According to Note II, the percentage distribution of pizzas sold by each outlet in 2018 remains the same as in 2017.

Percentage of pizzas sold by S in 2017 = 16%

Percentage of pizzas sold by T in 2017 = 20%

Combined percentage for S and T = $16\%+20\%=36\%$

Total pizzas sold by S and T in 2018 = $36\%\text{of}1.40X=0.36\times 1.40X=0.504X$

Step 3: Calculate the required percentage increase/difference.

Difference between total pizzas sold by S and T in 2018 and total pizzas sold by Q and R in 2017:

$\text{Difference}=0.504X-0.34X=0.164X$

Percentage more:

$\text{Percentage More}=\left(\frac{0.164X}{0.34X}\right)\times 100$

$\text{Percentage More}=\frac{16.4}{0.34}\approx 48.235\%\approx 48\%$