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CAT 2024 Slot 3 — DILR Question 3

TablesEasy
Passage / Data

Answer the following questions based on the information given below.

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.

Bar chart of Kid and Elder subscriber percentages in 2023 and 2024

Category (% of total subscribers)20232024
Kid15%20%
Elder20%30%
Others (balance)65%50%

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 was the percentage increase in the number of subscribers in the ‘Elder’ category from 2023 to 2024?

Answer & solution

  • A

    40%

  • B

    50%

  • C

    60%

  • 65%

Solution

Easy

Compute the Elder head-count in both years from the percentages and the year totals, then take the percentage increase.

Totals: 2023 =100,000=100{,}000, 2024 =110,000=110{,}000. Elder: 2023 =20%=20\%, 2024 =30%=30\% (from chart).

1

Elder counts.

Elder2023=20%×100000=20000⇒ Elder2024=30%×110000=33000\begin{aligned} &\text{Elder}_{2023}=20\%\times100000=20000\\ &\Rightarrow\ \text{Elder}_{2024}=30\%\times110000=33000 \end{aligned}
2

Percentage increase.

33000−2000020000×100=1300020000×100⇒ 65%\begin{aligned} &\frac{33000-20000}{20000}\times100 = \frac{13000}{20000}\times100\\ &\Rightarrow\ 65\% \end{aligned}
65%65\%
CAT 2024 Slot 3 DILR Q3: What was the percentage increase in the number of subscribers in the ‘Elder’ category from 2023 to — Solution | TheCATExam