Question

A farmer bought a buffalo for $Rs.44000$ and a cow for $Rs.18000.$ He sold the buffalo at a loss of $5\%$ but made a profit of $10\%$ on the cow. The net result of the transaction is

(a) loss of $Rs.200$
(b) profit of $Rs.400$
(c) loss of $Rs.400$
(d) profit of $Rs.200$

Answer 1

The correct option is (c): loss of $Rs.400$

For buffalo, $CP=Rs.44000$
Loss $\%=5\%$
$\therefore Loss\%=\frac{Loss}{CP}\times 100\%$
$\Rightarrow 5=\frac{Loss}{44000}\times 100$
$\Rightarrow Loss=5\times 440=Rs.2200$
So, $SP=CP-Loss=44000-2200=Rs.41800$
For cow, $CP=Rs.18000$
Profit $\%=10\%$
$\therefore Profit\%=\frac{Profit}{CP}\times 100\%$

$\Rightarrow 10=\frac{Profit}{18000}\times 100$

Profit $=Rs.1800$

So, $SP=CP+Profit=18000+1800=Rs.19800$
Total CP of buffalo and cow $=44000+18000=Rs.62000$
Total SP of buffalo and cow $=41800+19800=Rs.61600$
Net loss $=CP-SP=62000-61600=Rs.400$