Study the given graph and answer the question that follows: Number of employees in department B = 432 If the ratio of the male and female employees working in department A is 5 ∶ 11, and 40% of the employees in department C are females, then what is the ratio of the number of female employees in department A to that of male employees in department C?
Study the given graph and answer the question that follows: Number of employees in department B = 432 If the ratio of the male and female employees working in department A is 5 ∶ 11, and 40% of the employees in department C are females, then what is the ratio of the number of female employees in department A to that of male employees in department C? Correct Answer 143 <span style="">∶</span> 72
Formula used:
Value of the sector = (Degree of the sector/360°) × Total value
Calculation:
Let the total number of employees are x
Number of employees in department B = 432
(64.8°/360°) × x = 432
⇒ x = (432 × 360°) /64.8°
x = 2400
Number of employees in department A = (93.6°/360°) × 2400
⇒ 624
Number of males in department A = (5/16) × 624
⇒ 195
Number of females in department A = 624 - 195
⇒ 429
Number of employees in department C = (54°/360°) × 2400
⇒ 360
Number of males in department C = 40% of 360
⇒ 144
Number of females in department C = 360 - 144
⇒ 216
Required ratio is 429 ∶ 144
⇒ 143 ∶ 48
∴ The ratio of the number of female employees in department A to that of male employees in department C is 143 ∶ 48.