Discussion
A shopkeeper professes to sell all things at a discount of 20% ,but increases selling price of each article by 30% .His gain on each article is
Answer: B
Take the cost price as 100. He first marks the article up by 30%, then takes 20% off that inflated figure.
\[ \text{marked price} = 100 \times 1.30 = 130 \]
\[ \text{selling price} = 130 \times 0.80 = 104 \]
\[ \text{gain} = 104 - 100 = 4 \quad\Longrightarrow\quad 4\% \]
The two percentages do not cancel: 20% of 130 is 26, while 30% of 100 is only 30 - so a Rs. 4 margin survives. In general the net factor is \( 1.30 \times 0.80 = 1.04 \).
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