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.

Total number of Sports shoes sold by shop C and E together is approximately what % more than total number of Sneakers shoes sold by shop B and D together?

The correct option is 38%.

Let's break down the solution step-by-step using the data given in the two pie charts:

1. Understanding the Given Data:

From Pie Chart (I), the total number of shoes (Sports + Sneakers) sold by all five shops = 8000.
Percentage distribution of total shoes sold:
- Shop A = 20%
- Shop B = 15%
- Shop C = 35%
- Shop D = 12%
- Shop E = 18%

From Pie Chart (II), the total number of Sneakers shoes sold by all five shops = 4400.
Percentage distribution of Sneakers sold:
- Shop A = 15%
- Shop B = 20%
- Shop C = 40%
- Shop D = 10%
- Shop E = 15%

2. Calculate the Total Number of Sneakers Sold by Shop B and D Together:

From Pie Chart (II), the total percentage of Sneakers sold by shops B and D combined is:

$\text{Percentage of Sneakers (B + D)}=20\%+10\%=30\%$

Now, calculate the actual number of Sneakers sold by shops B and D together:

$\text{Sneakers (B + D)}=30\%\text{of}4400=\frac{30}{100}\times 4400=1320$

3. Calculate the Total Number of Sports Shoes Sold by Shop C and E Together:

First, calculate the total number of shoes (Sports + Sneakers) sold by shops C and E combined using Pie Chart (I):

$\text{Percentage of Total Shoes (C + E)}=35\%+18\%=53\%$

$\text{Total Shoes (C + E)}=53\%\text{of}8000=\frac{53}{100}\times 8000=4240$

Next, calculate the total number of Sneakers shoes sold by shops C and E combined using Pie Chart (II):

$\text{Percentage of Sneakers (C + E)}=40\%+15\%=55\%$

$\text{Sneakers (C + E)}=55\%\text{of}4400=\frac{55}{100}\times 4400=2420$

Now, subtract the Sneakers from the Total Shoes to get the total number of Sports shoes sold by shops C and E together:

$\text{Sports Shoes (C + E)}=\text{Total Shoes (C + E)}-\text{Sneakers (C + E)}$

$\text{Sports Shoes (C + E)}=4240-2420=1820$

4. Calculate the Percentage Difference:

We need to find how much percentage more the total number of Sports shoes sold by C and E (1820) is compared to the total Sneakers sold by B and D (1320):

$\text{Difference}=1820-1320=500$

$\text{Percentage More}=\left(\frac{500}{1320}\right)\times 100$

$\text{Percentage More}=\frac{5000}{132}\approx 37.87\%$

Rounding off to the nearest whole percentage, we get approximately 38%.