Read the following pie charts carefully and answer the questions given below

Given the pie chart (I) shows the total numbers of shoes (Sports and Sneakers) sold by five different shops in 2020. Given pie chart (II) shows the total numbers of Sneakers shoes sold by five different shops in 2020.

If the total number of shoes increased by 20% in 2021 in shop A and total number of Sneakers shoes increased by 15% in 2021 in shop A, then find the total number of Sport shoes in shop A in 2021.

The correct answer is 1161.

Step 1: Extract data from the given pie charts for the year 2020

From Pie Chart (I), the total number of shoes (Sports + Sneakers) sold across all five shops in 2020 is 8000, and shop A accounts for 20% of this total.

Total shoes sold by shop A in 2020:

$\text{Total shoes in A (2020)}=20\%\times 8000=\frac{20}{100}\times 8000=1600$

From Pie Chart (II), the total number of Sneakers shoes sold across all five shops in 2020 is 4400, and shop A accounts for 15% of this total.

Total Sneakers shoes sold by shop A in 2020:

$\text{Sneakers in A (2020)}=15\%\times 4400=\frac{15}{100}\times 4400=660$

Step 2: Calculate the totals for shop A in the year 2021

We are given that in 2021, the total number of shoes in shop A increased by 20%:

$\text{Total shoes in A (2021)}=1600\times (1+0.20)=1600\times 1.20=1920$

Similarly, the total number of Sneakers shoes in shop A increased by 15% in 2021:

$\text{Sneakers in A (2021)}=660\times (1+0.15)=660\times 1.15=759$

Step 3: Find the total number of Sport shoes in shop A in 2021

The total number of Sport shoes is found by subtracting the number of Sneakers shoes from the total number of shoes in shop A for 2021:

$\text{Sport shoes in A (2021)}=\text{Total shoes in A (2021)}-\text{Sneakers in A (2021)}$

$\text{Sport shoes in A (2021)}=1920-759=1161$

Thus, the total number of Sport shoes sold by shop A in 2021 is 1161.