The total number of female viewers of COLORS TV from city C is approximately __________ % of the total number of female viewers of JIO from city A.
- AOption (a)
82
- BOption (b)
88
- COption (c)
96
- DOption (d)
108
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Correct answer
88
Why this answer is correct
Given:
Total viewers of COLORS TV in City-C = 2400
Ratio of M:F for COLORS TV in City-C = 2:3
Total viewers of JIO in City-A = 2778
Ratio of M:F for JIO in City-A = 7:10
Formula used:
Number of females = \(\dfrac{\text{Total viewers} \times \text{F}}{\text{M+F}}\)
Percentage = \(\dfrac{\text{Female viewers of City-C}}{\text{Female viewers of City-A}} \times 100\)
Calculation:
Number of female viewers of COLORS TV in City-C:
⇒ Females = 2400 × 3 / (2+3)
⇒ Females = 2400 × 3 / 5
⇒ Females = 1440
Number of female viewers of JIO in City-A:
⇒ Females = 2778 × 10 / (7+10)
⇒ Females = 2778 × 10 / 17
⇒ Females ≈ 1634
Percentage:
⇒ Percentage = (1440 / 1634) × 100
⇒ Percentage ≈ 88.11%
Therefore, the total number of female viewers of COLORS TV from City-C is approximately 88% of the total number of female viewers of JIO from City-A.