Question

Men, women and children are employed to do a piece of work in proportion of 2, 3 and 5 days & their daily wages are in ratio of 2 : 2 : 8. When 100 men are employed, total daily wages of all the persons amount to Rs. 1000. Find monthly wages of the men in the April month of the year.
correct answer please​

Answer 1

Question:-

Men, women and children are employed to do a piece of work in proportion of 2, 3 and 5 days & their daily wages are in ratio of 2 : 2 : 8. When 100 men are employed, total daily wages of all the persons amount to Rs. 1000. Find monthly wages of the men in the April month of the year.

Explanation:-

Given, M : W : C = 2 : 3 : 5,

But no.of Men = 100

It implies the number of women = 50 × 3 = 150 & the number of children= 5 × 50 = 250

Ratio of wages = 2 : 2 : 8

Total wages received by all = (100 × 2) + (150 × 2) + (250 × 8) = 2500

Now, if total wages are Rs. 2500, a man gets Rs. 4, if total wages are 1000,

Daily wages of a man = 4/2500 × 1000 = 8/5

Therefore, monthly wages of men in April which has 30 days

=> 8 /5 × 30 = Rs.48

Answer 2

Answer :-

(a) Rs. 48

Explanation :-

Given, M : W : C = 2 : 3 : 5,

But no. of Men = 100

It implies the number of women = 50 × 3 = 150 & the number of children = 5 × 50 = 250

Ratio of wages = 2 : 2 : 8

Total wages received by all = (100 × 2) + (150 × 2) + (250 × 8) = 2500

Now, if total wages are Rs. 2500, a man gets Rs. 4, if total wages are 1000,

$\begin{gathered}\sf \color{cyan} Daily \: wages \: of \: a \: man \: = \: \frac{4}{2500} \: \times \: 1000 \: = \: \frac{8}{5} \\ \end{gathered}$

$\begin{gathered}\sf \color{lime} Therefore, \: monthly \: wages \: of \: men \: in \: April \: which \: has \: 30 \: days \: = \: \frac{8}{5} \: \times \: 30 \: = \: Rs. 48 \\ \end{gathered}$

$\sf \color{red} Hence, \: option \: A \: is \: correct.$