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.

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