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.

If total Pizza sold by P in 2017 are 1800 less than total Pizza sold by R in 2018, then find total Pizza sold by P and Q together in 2018.

Correct Option: 28000

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

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

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

According to the given notes:

1. Total pizzas sold in 2018 are 40% more than the total pizzas sold in 2017.

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

2. The percentage distribution of pizzas sold by the outlets in 2018 is the same as in 2017.

Therefore, we can calculate the pizzas sold by outlets P and R:

• Total pizzas sold by outlet P in 2017 = 30% of $x$ = $0.30x$
• Total pizzas sold by outlet R in 2018 = 24% of $1.40x$ = $0.24\×1.40x=0.336x$

We are given that the total pizzas sold by P in 2017 are 1800 less than the total pizzas sold by R in 2018:

$0.336x-0.30x=1800$

$0.036x=1800$

$x=\frac{1800}{0.036}=50000$

So, the total pizzas sold by all outlets in 2017 was 50,000.

Now, total pizzas sold by all outlets in 2018:

${\text{Total 2018}}_{}=1.40\×50000=70000$

We need to find the total pizzas sold by P and Q together in 2018.

Combined percentage distribution of P and Q = 30% + 10% = 40%

$\text{Pizzas sold by P and Q together in 2018}=40\%\text{of}70000$

$=0.40\×70000=28000$

Thus, the total pizzas sold by P and Q together in 2018 is 28000.