$A$ 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 $Rs.$)

Rita buys an article for $Rs.$ $9600.$ She sold it at $12 \%$ loss and get some money and from that money she again buys an article and this time she got $12 \%$ profit. What was profit or loss she got form this transaction in $Rs.$?

The list price of an article at a showroom is $Rs.\, 2000$ and it is being sold at successive discounts of $20 \%$ and $10 \% .$ Its net selling price will be (in $Rs.$)

If a banana cost is $Rs.\, 1.25$ and apple cost is $Rs .\,1 .75$ the what will be the cost of $2$ Dozen of Banana and $3$ Dozen of apple in $Rs.$?

Abhishek purchased $140$ shirts and $250$ trousers at $Rs.\, 450$ and at $Rs.\, 550$ respectively. What should be the overall average selling price of shirts and trousers so that $40 \%$ profit is earned? (in $Rs.$)

(rounded off to next integer)

In these questions, two equations mabered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.

$I.$ $2 x^{2}-11 x+15=0$

$II$. $2 y^{2}-11 y+14=0$