Men, women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages as 5 : 3 : 2. When 90 men are employed, total daily wages of all amounts to Rs.10350. Find the daily wages of a man.


A) Rs.45

B) Rs.57.50

C) Rs.115

D) Rs.75

Correct Answer:
D) Rs.75

Description for Correct answer:

Let the numbers of men, women and children are 3y, 2y and y, respectively

Given, 3y = 90 = y = 30

Number of women = 60

and number of children = 30

Let the men's, women's and children's wages be Rs.5x, Rs.3x and Rs.2x, respectively. According to the question,

Total daily wages = Rs.10350

= \( \Large 90 \times 5x + 60 \times 3x + 30 \times 2x = 10350 \)

= \( \Large x \times \left(450+180+60\right) = 10350 \)

= x (450+180+60)=10350

x = \( \Large \frac{1350}{690} \) = 15

Therefore, Daily wages of a man = Rs.75


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