Raman, Manan and Kamal are partners and invest in a business such that Raman invests $\frac{2}{5}\,^{th}$ of total and Manan invests $\frac{3}{8}\,^{th}$ of the total. What is the ratio of profits of Raman, Manan and Kamal respectively?

With a $5 \%$ discount on the cost of sugar, a buyer could purchase $2\, kg$ more sugar for $Rs.$ $608 .$ Selling price of sugar is? (in $Rs$)

A fruit seller sells $\frac{3}{5}$ th part of fruit at a profit of $10 \%$ and remaining at a loss of $5 \% .$ If the total profit is $Rs.\, 1500$ then what is the total cost price of fruit in $Rs.$?

By selling a book for $Rs.$ $360,20 \%$ profit was earned. What is the $CP$ of the book in $Rs.$?

A shopkeeper labeled the price of his articles in order to earn a profit of $30 \%$ on the cost price. He, then, sold the articles by offering a discount of $10 \%$ on the labelled price. What is the actual rate of profit he earned in the deal? (in $\%$)

A single discount, equivalent to a successive discount of $40 \%$ and $30 \%$ is in $\%$?