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Data Interpretation

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Read the Question carefully and choose the correct option.
If the ratio of the number of readers from City- A in the year 2019 to that in 2023 was 2: 5, then what was the ratio of the number of readers from all six cities together in the year 2019 to that in 2023?

1. 3:5
2. 4:5
3. 4:9
4. 2:5

यदि शहर A से पाठकों की वर्ष 2019 की संख्या का वर्ष 2023 की संख्या से अनुपात 2:5 था, तो सभी छह शहरों से पदकों की वर्ष 2019 की कुल संख्या का 2023 की संख्या से अनुपात कितना था?

1. 3:5
2. 4:5
3. 4:9
4. 2:5
This Question came in
UGC-NET-Paper1-18-June-2024-Shift-1-Q5
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Detailed Explanation & Answer
Let's assume,
Total readers in 2019 = M
Total readers in 2023 = N

Now,
Total readers in City A (10%) in 2019 = M x 10 / 100
Total readers in City A (15%) in 2023 = N x 15 / 100

Given, their ratio is 2:5
It means,
=> (M x 10 x 100) / (N x 15 x 100) = 2 / 5
=> 2M / 3N = 2 / 5
=> M / N = 6 / 10 = 3 / 5
=> 3:5
चलो मान लो,
2019 में कुल पाठक = एम
2023 में कुल पाठक = N

अब,
2019 में शहर ए में कुल पाठक (10%) = एम x 10/100
2023 में शहर ए में कुल पाठक (15%) = एन x 15/100

दिया गया है, उनका अनुपात 2:5 है
इसका मतलब है,
=> (एम x 10 x 100) / (एन x 15 x 100) = 2/5
=> 2एम/3एन = 2/5
=> एम/एन = 6/10 = 3/5
=> 3:5
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