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).

Open in App
Solution

## 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%}×S.P\right)$$⇒$The cost price of ${1}^{st}$ buffalo $=\left(\frac{100}{105}×20000\right)=₹19047.62$$⇒$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%}×S.P\right)$$⇒$The cost price of ${2}^{nd}$ buffalo $=\left(\frac{100}{90}×20000\right)=₹22222.22$$⇒$ $TotalC.P.=19047.62+22222.22=Rs.41269.84$$⇒$ $TotalS.P.=20000+20000=Rs.40000$If the total cost price is more than the total selling price, then there is overall a loss. So, $Loss=CostPrice-SellingPrice$$⇒$$Loss=41269.84–40000=Rs.1269.84$Hence, the overall loss is $₹1269.84$.

Suggest Corrections
63