By selling an article for $Rs. 144$,a person gained such that the percentage gain equals the cost price of the article. The cost price of the article is (in $Rs.$):

Savita buys $5$ shirts and $10$ pants for $Rs. 1600$. She sells shirts at a profit of $15\%$ and pants at a loss of $10\%$. If her overall profit was $Rs. 90$,what was the cost price of a shirt and a pant in $Rs.$?

$A$ shopkeeper sells a badminton racket,whose marked price is $Rs. 30$,at a discount of $15\%$ and gives a shuttlecock costing $Rs. 1.50$ free with each racket. Even then,he makes a profit of $20\%$. His cost price per racket is (in $Rs$):

$A$ man bought some fruits at the rate of $16$ for $Rs. 24$ and sold them at the rate of $8$ for $Rs. 18$. What is the profit percent (in $\%$)?

By selling a fan for $Rs. 1900$,a man has a loss of $5 \%$. At what price (in $Rs.$) should he sell the fan to gain $20 \% ?$

$A$ plate was sold for $Rs. 6,300$ after giving two successive discounts of $12.5\%$ and $10\%$. Find the marked price (in $Rs.$).