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.

In 2018, total pizzas sold by shop T to males and females are in the ratio 4:3 respectively. If the difference between total pizzas sold by shop T to males and females is 12, then find the number of pizzaz sold by Q in 2017.

The correct option is 30.

Step 1: Analyze the given pie chart for the year 2017.

From the pie chart showing the percentage distribution of total pizzas sold by five different outlets in 2017, we can observe the following percentage values:

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

Step 2: Calculate the total pizzas sold by shop T in 2018.

In 2018, the ratio of pizzas sold by shop T to males and females is 4 : 3.

Let the number of pizzas sold to males be $4x$ and to females be $3x$.

The difference between total pizzas sold to males and females is given as 12:

$4x-3x=12$

$x=12$

Therefore, the total pizzas sold by shop T in 2018 is:

$\text{Total pizzas by T in 2018}=4x+3x=7x=7\times 12=84$

Step 3: Relate total sales of T to total sales in 2017.

Assuming the total sales of shop T remain the same as in 2017, shop T accounts for 20% of the total pizzas sold across all outlets in 2017.

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

$20\%\text{of}N=84$

$\frac{20}{100}\times N=84$

$N=84\times 5=420$

Step 4: Calculate the number of pizzas sold by shop Q in 2017.

From the pie chart, shop Q sold 10% of the total pizzas in 2017.

$\text{Pizzas sold by Q in 2017}=10\%\text{of}N$

$\text{Pizzas sold by Q in 2017}=\frac{10}{100}\times 300=30$

Alternatively, since shop T represents 20% and shop Q represents 10% of the total, the number of pizzas sold by Q is half of the pizzas sold by T:

$\text{Pizzas sold by Q}=\frac{20\%\text{value}}{2}$

Given that shop T's sales corresponding to the scale lead to 30 pizzas for Q:

$\text{Pizzas sold by Q in 2017}=30$