Question:medium
In a market survey, 20% opted for product $A$, 60% for $B$, and the rest were uncertain. If the difference between those who opted for $B$ and those uncertain is $720$, how many individuals were surveyed?
In a market survey, 20% opted for product $A$, 60% for $B$, and the rest were uncertain. If the difference between those who opted for $B$ and those uncertain is $720$, how many individuals were surveyed?
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Translate verbal percent gaps into a single net percent and equate it to the given difference to find the total.
Updated On: Jul 16, 2026
- 1440
- 1800
- 3600
Data inadequate
Show Solution
The Correct Option is B
Solution and Explanation
Step 1: Uncertain \(=100\%-20\%-60\%=20\%\); "B" : "uncertain" \(=60:20=3:1\).
Step 2: Difference of \(2\) parts \(=720\Rightarrow\) \(1\) part \(=360\). So "B" group \(=3\times360=1080=60\%\) of \(N\).
Step 3: \[ N=\frac{1080}{0.6}=\boxed{1800} \]
Step 2: Difference of \(2\) parts \(=720\Rightarrow\) \(1\) part \(=360\). So "B" group \(=3\times360=1080=60\%\) of \(N\).
Step 3: \[ N=\frac{1080}{0.6}=\boxed{1800} \]
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