Abhishek purchased $140$ shirts and $250$ trousers at $Rs.\, 450$ and at $Rs.\, 550$ respectively. What should be the overall average selling price of shirts and trousers so that $40 \%$ profit is earned? (in $Rs.$)

(rounded off to next integer)

An article is marked for sale at $Rs.$ $504 .$ The shopkeeper gives a discount of $5 \%$ on the sale price and still earns a profit of $20 \% .$ What could be the purchase price of the article? (in $Rs.$)

The marked price of a watch was $Rs.\, 720 .$ A man bought the same for $Rs.\, 550.80$ after getting two successive discounts, the first being $10 \% .$ What was the second discount rate? (in $\%$)

Mohit lost $18 \%$ by selling a bicycle for $Rs.\, 1230$. What percent shall he gain or loss by selling it for $Rs.\, 1600 ?$

Raheem sells a machine for $RS.\,48$ lakh at a loss. Had he sold it for $RS.\, 60$ lakh, his gain would have been 5 times the former loss. Find the cost price of the machine. $Rs.$ in lakh ?

A shopkeeper purchased a chair marked at $RS.\, 600$ at two successive discounts of $15 \%$ and $20 \% .$ He spent $Rs.\, 28$ on transportation and sold the chair for $Rs.\,545.$ His gain percent was