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.

Find the ratio of total number of Sneakers shoes sold by shop A to total number of Sports shoes sold by shop D?

The correct option is 33:26.

To find the required ratio, let us analyze the data given in the two pie charts:

Step 1: Understand the Data
1. Pie Chart (I): Shows the total number of shoes (Sports + Sneakers) sold by five shops (A, B, C, D, E).
• Total number of shoes = 8000
• Percentage share of Shop D = 12%

2. Pie Chart (II): Shows the total number of Sneakers shoes sold by five shops (A, B, C, D, E).
• Total number of Sneakers shoes = 4400
• Percentage share of Shop A = 15%
• Percentage share of Shop D = 10%

Step 2: Calculate the number of Sneakers shoes sold by shop A

$\text{Sneakers sold by shop A}=15\%\text{ of }4400$

$\text{Sneakers sold by shop A}=\frac{15}{100}\times 4400=15\times 44=660$

Step 3: Calculate the number of Sports shoes sold by shop D
First, find the total number of shoes (Sports + Sneakers) sold by shop D:

$\text{Total shoes sold by shop D}=12\%\text{ of }8000$

$\text{Total shoes sold by shop D}=\frac{12}{100}\times 8000=12\times 80=960$

Next, find the number of Sneakers shoes sold by shop D:

$\text{Sneakers sold by shop D}=10\%\text{ of }4400$

$\text{Sneakers sold by shop D}=\frac{10}{100}\times 4400=440$

Now, subtract the Sneakers sold by shop D from the total shoes sold by shop D to find the Sports shoes sold by shop D:

$\text{Sports shoes sold by shop D}=\text{Total shoes sold by shop D}-\text{Sneakers sold by shop D}$

$\text{Sports shoes sold by shop D}=960-440=520$

Step 4: Find the required ratio
We need to find the ratio of total number of Sneakers shoes sold by shop A to total number of Sports shoes sold by shop D:

$\text{Required Ratio}=\frac{\text{Sneakers sold by shop A}}{\text{Sports shoes sold by shop D}}$

$\text{Required Ratio}=\frac{660}{520}$

Simplifying the fraction by dividing both numerator and denominator by 20:

$\text{Required Ratio}=\frac{33}{26}=33:26$

Thus, the required ratio is 33:26.