Instructions

Refer to the following piechart and the table and answer the given questions.

Distribution of total number of commuters (males and females) who travel on 6 different routes of Metro :Total number of commuters = 4000

Question 72

# 20% male commuters who travel on routes A and F together are less than 25 years of age and 20% female commuters who travel on the same routes together are less than 25 years of age. What is the respective ratio between the two?

Solution

Total commuters who travel on route A = $$\frac{20}{100} \times 4000 = 800$$

Males = $$\frac{3}{8} \times 800 = 300$$

Females = $$800 - 300 = 500$$

Total commuters who travel on route F = $$\frac{12}{100} \times 4000 = 480$$

Males = $$\frac{2}{3} \times 480 = 320$$

Females = $$480 - 320 = 160$$

Male commuters who travel on routes A and F together and are less than 25 years of age

= $$\frac{20}{100} (300 + 320) = 124$$

Female commuters who travel on routes A and F together and are less than 25 years of age

= $$\frac{20}{100} (500 + 160) = 132$$

$$\therefore$$ Required ratio = $$124:132 = 31:33$$