A trader sells two articles at 6000 each.He makes profit of 20% on the sale of the first article and loss of 10% on the sale of second article. What is his overall gain or loss percent ?
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Answers
Answer:
His net loss is 4%
Step-by-step explanation:
Case 1:
SP of 1 article = 6000
Gain = 20%
\begin{gathered}CP = \frac{SP \times 100}{(100+P\%)}\\CP=\frac{6000 \times 100}{(100+20)}\\CP=5000\end{gathered}CP=(100+P%)SP×100CP=(100+20)6000×100CP=5000
Case 2:
SP of 1 article = 6000
Loss = 20%
\begin{gathered}CP = \frac{SP \times 100}{(100-P\%)}\\CP=\frac{6000 \times 100}{(100-20)}\\CP=7500\end{gathered}CP=(100−P%)SP×100CP=(100−20)6000×100CP=7500
Total SP = 6000+6000=12000
Total CP = 5000+7500=12500
CP>SP
So,Loss
\begin{gathered}Loss\%=\frac{CP-SP}{CP} \times 100\\Loss\%=\frac{12500-12000}{12500} \times 100\\Loss\%=4\%\end{gathered}Loss%=CPCP−SP×100Loss%=1250012500−12000×100Loss%=4%
Hence his net loss % is 4%
Answer:
10% Profit
Step-by-step explanation:
Take out 20% of Rs. 6000 = 6000÷100×20 = Rs.1200
Take out 10% of Rs. 6000 = 6000÷100×10 = Rs. 600
Subtract both = Rs. 1200
-Rs. 600
=Rs. 600
Take out what is Rs. 600 percent of Rs. 6000 = 600÷6000×100 = 10%