Discussion Forum

If the wages of 6 men for 15 days be Rs. 2100, then find the wages of 9 men for 12 days.

Answer:

Explanation:

Let the required wages be Rs. $x$.

More men, More wages (Direct Proportion)

Less days, Less wages  (Direct Proportion)

$\left\{\begin{array}{c}Men\quad\quad 6:9\\ Days\quad 15:12\end{array}\right\}::2100:x$

$\therefore(6\times 15\times x)$ $=(9\times 12\times 2100)$

$\Leftrightarrow x=\frac{9\times 12\times 2100}{6\times 15}$ $=2520.$

Hence, the required wages are Rs. 2520.