An article is sold at a gain of $15 \% .$ Had it been sold for $Rs.\,27$ more, the profit would have been $20 \%$. The cost price of the article is (in $Rs.$)

The marked price of an article is $Rs.\, 5000.$ But due to a special festive offer a certain per cent of discount is declared. Mr. $X$ availed this opportunity and bought the article at reduced price. He then sold it at $Rs.\, 5000$ and thereby made a profit of $11 \frac{1}{9} \%$. The percentage of discount allowed was

A merchant purchases a wrist watch for $Rs.\,450$ and fixes its list price in such a way that after allowing a discount of $10 \%,$ he earns a profit of $20 \%$. Then the list price (in rupees) of the wrist watch is

A man buys a cycle for $Rs$ $1400$ and sells it at a loss of $15 \% .$ What is the selling price of the cycle? (in $Rs.$)

A trader buys $500\, kg$ of cotton for $Rs.\, 9,000.10 \%$ of this cotton is spoiled due to rain. At what rate ($Rs./ kg$) should he sell the rest to earn $10 \%$ profit?

A cab driver makes a profit of $20 \%$ on every trip when he carries $3$ passengers and the price of petrol is $Rs.\,30$ a litre. Find the percentage profit for the same journey if he goes with four passengers per trip and the price of petrol reduces to $Rs.\, 24$ a litre? (in $\%$)

(Assume that revenue per passenger is the same in both the cases.)