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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.
Calculate the total number of analog watches sold across all three companies?
758
876
978
954
832
Let's break it down stepwise:
- Company C sold 192 digital watches.
- Analog watches = 60% of Company C’s total sales. Let total sales of C = x
So, analogs = 0.6x, digitals = 0.4x = 192 ? x = 480
Analogs sold by C = 0.6 × 480 = 288
- Ratio of total sales A:B:C = 7:9:6
If C is 480, then
A = (7/6) × 480 = 560
B = (9/6) × 480 = 720
- In A, digital:analog sales = 5:3
Total A = 560 ? analogs = 3/8 × 560 = 210
- The sum of C’s analog and digital = analog sold by B
(288 + 192) = 480 analogs sold by B
- Total analogs = A's analogs + B's analogs + C's analogs
= 210 + 480 + 288 = 978
So, option 3. 978 is correct.
Option: 3, 978 is correct
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