WBCS Mains 2019 Official Paper-VI

The ratio of manufacturing cost of two saris is $2:5$. If the first sari is sold at $15\%$ profit and the second sari is sold at $18\%$ profit, then the manufacturer makes a total profit of $\text{Rs. }396$. Find the cost of manufacture of the first sari.

A book seller allowing a $12\%$ discount on the marked price of a book made a profit of $10\%$. What will be his percentage of profit if he sells the book at the marked price?

A trader sold a bicycle at a profit of $10\%$. Had he bought the bicycle at $10\%$ less price and sold it at a price $\text{Rs. }12$ more, he would have gained $25\%$. What is the cost price of the bicycle?

A businessman blends Assam tea costing $\text{Rs. }70$ per kg with Darjeeling tea costing $\text{Rs. }110$ per kg in the ratio $3:1$. What should be the selling price per kg of the new mixture to have a profit of $12\frac{1}{2}\%$ for him?

There is a loss of $11\%$ if an article is sold at $\text{Rs. }178$. At what price should it be sold to make a profit of $11\%$?