$A$ 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 $Rs.$)

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 $Rs.$)

Aditya bought a scooter for a certain sum of Money. He spend $15 \%$ of cost price on repair and sold it for a profit on $Rs.$ $1104.$ What will he spend on repair if profit he got was $20 \%$ in $Rs.?$

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

$I.$ $3 x^{2}-13 x+12=0$

$II.$ $2 y^{2}-15 y+28=0$

A man sells each of his $2$ articles for $Rs.$ $99.$ On one he gains $10 \%$ and on the other he incurred a loss of $1 \%$ in the entire transaction. What is his total gain in $\%$?

A fair price shopkeeper makes $10 \%$ profit on his goods. He lost $20 \%$ goods during theft. His. loss percent is