Question

If $5$ labourers earn $Rs9000$ in $15$ days, how many labourers can earn $Rs6720$ in $8$ days?

Answer 1

Given that $5$ labourers earn $Rs.9000$ in $15$ days let $x$ labourers can earn $Rs.6720$ in $8$ days

We use the concept given below,

If $M_1$ workers earn $Rs.R_1$ in $d_1$ days, then $M_1\times d_1$ workers earn $R_1,Rs$ in $1$ days then $\frac{M_1\times d_1}{R_1}$ earn $1$ Rs in $1$ days

If $M_2$ workers earn $Rs.R_2$ in $d_2$ days then $\frac{M_2\times d_2}{R_2}$ earn $1$ Rs in $1$ days

Hence in $1$ day, $Rs.1$ earned by

$\frac{M_1\times d_1}{R_1}=\frac{M_2\times d_2}{R_2}$

Now we use that formula we Find the solution of the equation

Let $M_1=5$

$R_1=9000Rs$

$d_1=15$ days

and $M_2=x,R_2=6720Rs$

and $d_2=8boys$

$\frac{15\times 15}{9000}=\frac{x\times 8}{6720}$

$x=\frac{6720\times 5\times 15}{9000}=7$ labourers