Question

A shopkeeper bought wheat for $Rs.35000$. Due to leakage in the godown $\frac{1}{7}$th of the total wheat was spoiled. He sold the good wheat at a gain of $10\%$ and the spoiled wheat at a loss of $25\%$. Find his total gain or loss per cent.

Answer 1

Total cost of wheat $Rs.35000$
Wheat sold at loss $=\frac{1}{7}\times 35000=5000$
Loss $=25\%$
Thus, SP $=CP-Loss=5000-\frac{25}{100}\times 5000=5000-1250=Rs.3750$
Wheat sold at profit $=\frac{6}{7}\times 35000=30000$
Gain $=10\%$
Thus, $SP=CP+Profit=30000+\frac{10}{100}\times 30000=Rs.33000$
Total $SP=3750+330000=Rs.36750$
Hence, net profit $=36750-35000=Rs.1750$
Profit % $=\frac{1750}{35000}\times 100=5\%$