Question

A milkman sold two of his buffaloes for $₹20000$ each. On one he made a gain of $5\%$ and on the other a loss of $10\%$. Find his overall gain or loss. (Find CP of each).

Answer 1

The selling price of $1^{st}$ buffalo $=₹20000$

He made a gain of $5\%$ in $1^{st}$ buffalo.

We know : $C.P=\left(\frac{100}{100+gain\%}\times S.P\right)$

$\Rightarrow$The cost price of $1^{st}$ buffalo $=\left(\frac{100}{105}\times 20000\right)=₹19047.62$

$\Rightarrow$The selling price of $2^{nd}$ buffalo $=₹20000$

He made a loss of $10\%$ in $2^{nd}$ buffalo.

We know : $C.P=\left(\frac{100}{100-loss\%}\times S.P\right)$

$\Rightarrow$The cost price of $2^{nd}$ buffalo $=\left(\frac{100}{90}\times 20000\right)=₹22222.22$

$\Rightarrow$ $TotalC.P.=19047.62+22222.22=Rs.41269.84$

$\Rightarrow$ $TotalS.P.=20000+20000=Rs.40000$

If the total cost price is more than the total selling price, then there is overall a loss. So, $Loss=CostPrice-SellingPrice$

$\Rightarrow$$Loss=41269.84–40000=Rs.1269.84$

Hence, the overall loss is $₹1269.84$.