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Consider the below data regarding total number of TVs sold in different cities and ratio of black & white TVs sold to coloued TVs sold in those cities :
A 200 2 : 3
B 300 3 : 2
C 420 3 : 4
D 360 5 : 7
E 280 2 : 5
What is overall ratio of black and white TVs sold to colored TVs sold in all the fve cities together?
63 : 89
67 : 83
69 : 83
67 : 89
None of the above
- To find the overall ratio of black and white TVs to colored TVs, calculate the number of black and white TVs and colored TVs in each city and then sum them up.
- For city A (200 TVs, ratio 2:3): Black & white TVs = 80, Colored TVs = 120.
- For city B (300 TVs, ratio 3:2): Black & white TVs = 180, Colored TVs = 120.
- For city C (420 TVs, ratio 3:4): Black & white TVs = 180, Colored TVs = 240.
- For city D (360 TVs, ratio 5:7): Black & white TVs = 150, Colored TVs = 210.
- For city E (280 TVs, ratio 2:5): Black & white TVs = 80, Colored TVs = 200.
- Total black & white TVs = 670; Total colored TVs = 890.
The overall ratio is 67:89, matching Option 4.
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