Discussion
When a shopkeeper sells item A for ₹ 384, then there is a loss of 20% and when he sells item B for ₹ 400, then there is a profit of 25%. What is the profit/loss percent, if he sells both items for a total of ₹ 852 ?
Answer: A
He makes a profit of 6.5%.
Find each cost price first:
\[ \begin{aligned} CP_{A} &= \frac{384}{0{\cdot}8} = 480 \\ CP_{B} &= \frac{400}{1{\cdot}25} = 320 \\ \text{Total CP} &= 800 \\ \text{Profit} &= 852 - 800 = 52 \\ \text{Profit \%} &= \frac{52}{800} \times 100 = 6{\cdot}5\% \end{aligned} \]
The trap is to average the 20% loss and the 25% profit, or to work on selling prices instead of cost prices; neither gives the correct base of ₹ 800.
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