Over the top (OTT) subscribers of a platform are segregated into three categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows the percentage of the total number of subscribers in 2023 and 2024 who belong to the ‘Kid’ and ‘Elder’ categories.

The following additional facts are known about the numbers of subscribers:

1. The total number of subscribers increased by 10% from 2023 to 2024.
2. In 2024, 1/2 of the subscribers from the ‘Kid’ category and 2/3 of the subscribers from the ‘Elder’ category use one app.
3. In 2023, the number of subscribers from the ‘Kid’ category who used multiple apps was the same as the number of subscribers from the ‘Elder’ category who used one app.
4. 10,000 subscribers from the ‘Kid’ category used one app and 15,000 subscribers from the ‘Elder’ category used multiple apps in 2023.

What percentage of subscribers in the ‘Kid’ category used multiple apps in 2023?

The correct option is 33.33%.

Step-by-Step Explanation:

1. Understanding and Extracting Data from the Visual Chart:
By analyzing the bar chart provided, we can read the percentage of total subscribers for each category in 2023 (solid black bars) and 2024 (horizontally striped bars):
• Kid Category: Accounts for 15% of total subscribers in 2023 and 2020% in 2024.
• Elder Category: Accounts for 20% of total subscribers in 2023 and 30% in 2024.

2. Defining Variables for 2023:
Let the total number of subscribers in 2023 be represented as $N_{2023}$.
Using the percentages from the chart, we can express the total number of subscribers in each category for 2023:
• Total subscribers in 'Kid' category in 2023 = $0.15N_{2023}$
• Total subscribers in 'Elder' category in 2023 = $0.20N_{2023}$

3. Using the Additional Facts:
From Fact 4, we are given:
• Subscribers in the 'Kid' category who used one app in 2023 = 10,000
• Subscribers in the 'Elder' category who used multiple apps in 2023 = 15,000

From Fact 3, we know that in 2023, the number of subscribers in the 'Kid' category who used multiple apps is equal to the number of subscribers in the 'Elder' category who used one app. Let this common value be $x$:
• Subscribers in 'Kid' category using multiple apps (2023) = $x$
• Subscribers in 'Elder' category using one app (2023) = $x$

Therefore, we can write the equations for the total subscribers in both categories in 2023:
• Total Kids (2023) = $\mathrm{10,000}+x=0.15N_{2023}$ --- (Equation 1)
• Total Elders (2023) = $x+\mathrm{15,000}=0.20N_{2023}$ --- (Equation 2)

4. Solving the System of Equations:
Subtract Equation 1 from Equation 2:
$(x+\mathrm{15,000})-(\mathrm{10,000}+x)=0.20N_{2023}-0.15N_{2023}$
$\mathrm{5,000}=0.05N_{2023}$
$N_{2023}=\frac{\mathrm{5,000}}{0.05}=\mathrm{100,000}$

Now, substitute $N_{2023}=\mathrm{100,000}$ back into Equation 1:
$\mathrm{10,000}+x=0.15\left(\mathrm{100,000}\right)$
$\mathrm{10,000}+x=\mathrm{15,000}$
$x=\mathrm{5,000}$

Thus, in 2023:
• Total subscribers in the 'Kid' category = 15,000
• Subscribers in the 'Kid' category who used multiple apps = 5,000

5. Calculating the Percentage:
The percentage of subscribers in the 'Kid' category who used multiple apps in 2023 is:
$\text{Percentage}=\frac{\mathrm{5,000}}{\mathrm{15,000}}\times 100\%=33.33\%$