The price of an article is raised by $30 \%$ and then two successive discount of $10 \%$ each are allowed. Ultimately, the price of the article is

A shopkeeper sold some article at the rate of $Rs.\, 35$ per article and earned profit of $40 \% .$ At what price each article should have been sold so that profit of $60 \%$ was earned. in$Rs.$

A fruit-seller buys $x$ guavas for $Rs.\, y$ and sells $y$ guavas for $Rs.\, x .$ If $x>y,$ then he made

A trader put the price of his goods $25 \%$ above cost price but allows $12.5 \%$ discount for cash payment. If he sells the goods for. $Rs.$ $875$ find the cost price of the goods? (in $Rs.$)

A dishonest dealer defrauds to the extent of $x \%$ in buying as well as selling his goods by using faulty weight. What will be the gain per cent on his outlay?

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

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

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