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 men bought apples at the rate of $8$ for $Rs.\, 34$ and sold them at the rate of $12$ for $Rs.\, 57 .$ How many apples should be sold to earn a net profit of $Rs.$ $45 ?$

The marked price of a watch was $Rs.\, 720 .$ A man bought the same for $Rs.\, 550.80$ after getting two successive discounts, the first being $10 \% .$ What was the second discount rate? (in $\%$)

Rajesh purchased a mobile phone and a refrigerator for $Rs.\, 12000$ and $Rs.\, 10000$ respectively. She sold the refrigerator at a loss of $12$ percent and mobile phone at a profit of $8$ per cent. What is her overall loss$/$profit?

By selling an article for $Rs.\,144,$ a person gained such that the percentage gain equals the cost price of the The cost price of the article is (in $Rs.$)

A trader sells rice at a profit of $5 \%$ and uses a weight which is $25 \%$ less. Find the total percentage gain.