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 $Rs.$)

A shopkeeper cheats to the extent of $10 \%$ while buying as well as selling, by using false weights. His total gain is in $\%$

Two third of consignment was sold at a profit of $5 \%$ and the remainder at a loss of $2 \%$. If the total profit was $Rs.\, 400$ , the value of the consignment was in $Rs.$?

A man sells an article at $5 \%$ above its cost price. If he had bought it at $5 \%$ less than what he had paid for it and sold it at $Rs.\, 2$ less, he would have gained $10 \% .$ The cost price of the article is (in $Rs.$)

Aditya sold $TV$ to Sanjay at $12 \%$ more than the $CP.$ If Sanjay paid $Rs.\, 17696$ for that $TV$ then what was the original price of the $TV$ 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.

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

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