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Read the given table carefully and answer the following question. The data below show the number of watches sold by five shopkeepers on Monday and the ratio of analog to digital watches sold by each shopkeeper on the same day. Shopkeepers | Total Sold Watches | Analog : Digital A | 135 | 5:4 B | 140 | 9:5 C | 180 | 4:5 D | 160 | 13:19 E | 150 | 7:8 Find the ratio of total digital watches sold by B and C together to total analog watches sold by A and D together.

1. 1:1
2. 15:14
3. 10:9
4. 14:11

Correct answer: 15:14

Solution

For B, digital watches = 140 × 5/14 = 50. For C, digital watches = 180 × 5/9 = 100, so total digital = 150. For A, analog watches = 135 × 5/9 = 75, and for D, analog watches = 160 × 13/32 = 65, so total analog = 140. The required ratio is 150:140 = 15:14.

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