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.

The correct answer is 28000.

Step-by-Step Explanation:

From the pie chart, we can extract the percentage distribution of total pizzas sold by 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%

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

1. Expressing Pizza sales for 2017 and 2018:
• Total pizzas sold in 2017 = $''X''$
• Total pizzas sold by outlet P in 2017 = 30% of $''X''=\; 0.30''X''$

According to Note I, total pizzas sold by these five outlets in 2018 is 40% more than in 2017:
• Total pizzas sold in 2018 = $''X''+\; 0.40''X''=\; 1.40''X''$

According to Note II, the percentage distribution for each outlet in 2018 is the same as in 2017:
• Total pizzas sold by outlet R in 2018 = 24% of 1.40$''X''$

$''Sales\; of\; R\; in\; 2018''=\; 0.24\; \times \; 1.40''X''=\; 0.336''X''$

2. Finding the total sales in 2017 ($''X''$):
We are given that total pizzas sold by P in 2017 are 1800 less than total pizzas sold by R in 2018:

$''Sales\; of\; R\; in\; 2018''-''Sales\; of\; P\; in\; 2017''=\; 1800$

$0.336''X''-\; 0.30''X''=\; 1800$

$0.036''X''=\; 1800$

$''X''=\; 1800\; /\; 0.036\; =\; 50000$

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

3. Calculating total Pizza sold in 2018:
Total pizzas sold in 2018 = $1.40\; \times \; 50000\; =\; 70000$

4. Finding total Pizza sold by P and Q together in 2018:
The combined percentage of outlets P and Q = $30\%\; +\; 10\%\; =\; 40\%$

$''P\; and\; Q\; together\; in\; 2018''=\; 40\%\; of\; 70000$

$''P\; and\; Q\; together\; in\; 2018''=\; 0.40\; \times \; 70000\; =\; 28000$

Therefore, the total number of pizzas sold by outlets P and Q together in 2018 is 28000.