A person sells a table at a 7% profit. If he had sold it for ₹1,280 more, then his profit would have been 17%. Find the cost price of the table.
₹12,800
Let the cost price of the table be \(\text{CP}\).
The extra ₹1,280 corresponds to the difference in profit percentages, i.e. \(17\% - 7\% = 10\%\) of the cost price.
So \(10\% \text{ of } \text{CP} = 1280\).
\(\dfrac{10}{100} \times \text{CP} = 1280 \Rightarrow \text{CP} = 1280 \times 10 = 12800\).
Hence, the cost price of the table is ₹12,800.
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An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:
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