WBCS Mains 2019 Official Paper-VI

A businessman sold an article at a loss of $15\%$. Had he sold the article at $\text{Rs. }100$ more, he would have gained $10\%$. At what price did he sell the article?

In what ratio should Assam tea at $\text{Rs. }40$ per kg and Darjeeling tea at $\text{Rs. }65$ per kg be mixed and sold at $\text{Rs. }60$ per kg to make an overall profit of $25\%$?

A milkman mixed water with $60\text{litres}$ of pure milk and sold the mixture at the cost price, thereby making a profit of $25\%$. Find the quantity of water in the mixture.

A shoemaker sold two pairs of shoes at the same price. On the first pair he makes a profit of $20\%$ and on the other pair he makes a loss of $20\%$. What is his percentage of profit or loss in the whole business?

Paban incurred a $10\%$ loss by selling lemons at $\text{Rs. }18$ per dozen. At what price should he sell each dozen of lemons to make a profit of $10\%$?