$A$ and $B$ jointly made a profit of $Rs.\, 1650$ and they decided to share it such that $\frac{1}{3}$ of $A$ 's profit is equal to $\frac{2}{5}$ of $B$ 's profit. Then profit of $B$ is (in $Rs.$)

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?

A dairyman pays $Rs.\, 6.40$ per litre of milk. He adds water and sells the mixture at $Rs.\, 8$ per litre, thereby making $37.5\%$ profit. The proportion of water to milk received by the customers is

The value of an article depreciates every year at the rate of $10 \%$ of its value. If the present value of the article is $Rs.\, 729$, then its worth $3\, years$ ago was (in $Rs.$)

A reduction of $21 \%$ in the price of an item enables a person to buy $3\, Kg$ more for $Rs.\,100.$ The reduced price of the item per $Kg$ is (in $Rs.$)

A cab driver makes a profit of $20 \%$ on every trip when he carries $3$ passengers and the price of petrol is $Rs.\,30$ a litre. Find the percentage profit for the same journey if he goes with four passengers per trip and the price of petrol reduces to $Rs.\, 24$ a litre? (in $\%$)

(Assume that revenue per passenger is the same in both the cases.)