While selling an article for $Rs.\, 18450,$ a person suffered a loss of $50 \%$. At what price he should have sold the article (in $Rs.$) to earn a profit of $50 \% ?$

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 shopkeeper mixes $26\, kg$ of wheat which cost $Rs$. $20$ a $kg$ with $30\, kg$ of wheat which cost $Rs.\,36$ a $kg$ and sells the mixture at $Rs.\,30$ a $kg.$ Find the profit percent.

An article is sold at a gain of $15 \% .$ Had it been sold for $Rs.\,27$ more, the profit would have been $20 \%$. The cost price of the article is (in $Rs.$)

A man purchased $120$ reams of paper at $Rs.\, 80$ per He spend $RS.\, 280$ on transportation, paid octrol at the rate of $40$ palse per ream and paid $Rs.\, 72$ to a porter. In order to gain $8 \%$ he must sell each ream of paper for (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..

$I$. $6 x^{2}+19 x+15=0$

$II$.$3 y^{2}+11 y+10=0$