Question

A milkman sold two of his buffaloes for $Rs.20,000$ each. On one he made a gain of $5\%$ and on the other a loss of $10\%$. Find his overall gain or loss. (Find the $CP$ of each)

Answer 1

As the milkman made the gain of $5\%$ while selling one buffalo, so if $Rs100$ is the C.P. of the buffalo, then the S.P. will be 105.

The C.P. of one buffalo will be,

$C.P.=20000\times \frac{100}{105}$

$=Rs19047.62$

As the milkman made the loss of $10\%$ while selling one buffalo, so if $Rs100$ is the C.P. of the buffalo, then the S.P. will be 90.

The C.P. of one buffalo will be,

$C.P.=20000\times \frac{100}{90}$

$=Rs22222.22$

$TotalC.P.=Rs19407.62+Rs22222.22$

$=Rs41269.84$

$TotalS.P.=Rs20000+Rs20000$

$=Rs40000$

Then the loss of the milkman is,

$Loss=Rs41269.84-Rs40000$

$=Rs1269.84$