The pie chart below shows the percentage distribution of total pizzas sold by five outlets (P, Q, R, S, and T) of 'Pizza Hut' in 2017:
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759341653/aptidude_questions/faqytu6l6htyh9pkpcz9.png)
Additional information:
I. The total number of pizzas sold by these five outlets in 2018 is 40% more than the total pizzas sold in 2017.
II. The percentage distribution of pizzas sold by these outlets in 2018 remains the same as in 2017.

What is the percentage of total pizzas sold by outlets P, R, and S together in 2018 with respect to the total pizzas sold by outlets P and Q together in 2017?

Question

The pie chart below shows the percentage distribution of total pizzas sold by five outlets (P, Q, R, S, and T) of 'Pizza Hut' in 2017:
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759341653/aptidude_questions/faqytu6l6htyh9pkpcz9.png)
Additional information:
I. The total number of pizzas sold by these five outlets in 2018 is 40% more than the total pizzas sold in 2017.
II. The percentage distribution of pizzas sold by these outlets in 2018 remains the same as in 2017.

What is the percentage of total pizzas sold by outlets P, R, and S together in 2018 with respect to the total pizzas sold by outlets P and Q together in 2017?

Accepted Answer

**Solution:**

1. Let the total pizzas sold in 2017 be $x$.

2. Total pizzas sold in 2018 = $x + 40\%$ of $x = 1.4x$.

3. Percentage distribution remains the same in 2018 as in 2017.

4. Calculate pizzas sold by P, R, and S together in 2018:
   - Sum of their percentages = $30\% + 24\% + 16\% = 70\%$
   - Number of pizzas sold by P, R, and S in 2018 = $70\%$ of $1.4x = 0.7 	imes 1.4x = 0.98x$

5. Calculate pizzas sold by P and Q together in 2017:
   - Sum of their percentages = $30\% + 10\% = 40\%$
   - Number of pizzas sold by P and Q in 2017 = $40\%$ of $x = 0.4x$

6. Required percentage = $\frac{0.98x}{0.4x} 	imes 100 = \frac{0.98}{0.4} 	imes 100 = 2.45 	imes 100 = 245\%$

**Answer:** 245\%

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