MAT Exam 2020 Paper

Concept:The total number of night-shift workers remains 40250. Only the number of females in banking changes. So, find the increase in banking females and add it to the original female count, then express it as a percentage of the unchanged total.Explanation:From the given graph data, total number of females originally working in night shifts is 13363.Banking has $14\%$ of total night-shift workers.Banking workers $= \frac{14}{100} \times 40250 = 5635$.Original females in banking are $40\%$ of banking workers.Hence, original banking females $= \frac{40}{100} \times 5635 = 2254$.Given new females in banking $= 3206$.Increase in females $= 3206 - 2254 = 952$.New total females working in night shifts $= 13363 + 952 = 14315$.Required new percentage $= \frac{14315}{40250} \times 100 = 35.56\%$.Since total number of people in night shifts remains constant, this percentage is final.Answer:$35.56\%$ Option A.