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Direction: Read the following comprehension and answer accordingly
There are three watch-selling companies, A, B, and C. Each of these companies sells both analog and digital watches. Company C sold 192 digital watches. Analog watches make up 60% of its total watch sales of Company C. The total sales of A, B, and C is in the ratio 7 : 9 : 6. Company A sells digital and analog watches in a ratio of 5:3. The sum of the analog and digital watch sales of Company C equals the number of analog watches sold by Company B.
What percentage of Company A's total watch sales were analog watches?
5.2%
37.5%
62.5%
45.8%
None of these
- Company C's sales:
- Sold 192 digital watches.
- Total analog watches = 60% of total sales.
- Let the total sales of Company C be x.
- Therefore, 0.6x analog watches + 192 digital watches = x.
- Simplifies to:
x=480
- Analog watches = 288.
- Sales ratios:
- Total sales ratio: A:B:C=7:9:6.
- Total sales of Company C = 480.
- Total sales of Company A = 76×480=560.
- Company A's watch sales ratio:
- Digital: Analog = 5:3.
- Total sales = 560.
- Digital watches = 58×560=350.
- Analog watches = 38×560=210.
- Percentage of analog watches = 210560×100=37.5%.
- Correct Answer:
- 37.5%
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