MAT Exam 2020 Paper

Concept:Average is calculated by dividing the total number of females working in night shifts by the number of industries.Explanation:For each industry, number of females in night shifts is:$\text{(industry share percentage)} \times \text{(female percentage in night shifts)} \times 40250$Total people = $40250$Industries are: IT, Gaming, Call centre, Sales, Banking, Medical.Total number of females across all industries is:$$\frac{40250}{100 \times 100}(12 \times 20 + 18 \times 20 + 32 \times 45 + 8 \times 60 + 14 \times 40 + 16 \times 15)$$Solving the bracket:$240 + 360 + 1440 + 480 + 560 + 240 = 3320$Therefore, total females = $\frac{40250 \times 3320}{10000} = 13363$Average number of females working in night shifts in all industries:$$\frac{13363}{6} \approx 2227$$Answer:Option A: 2227