A trader marked his goods at $20 \%$ above the cost price. He sold half the stock at the marked price, one quarter at a discount of $20 \%$ on the marked price and the rest at a discount of $40 \%$ on the marked price. His total gain is in $\%$?

Kamya purchased an item for $Rs.\, 46,000$ and sold it at aloss of $12$ percent. With that amount she purchased another item which he sold at a gain of $12 \% .$ What was her overall gain/loss?

A dealer sold a bicycle at a profit of $10 \% .$ Had he brought the bicycle at $10 \%$ less price and sold it at a price $Rs.\, 60$ more, he would have gained $25 \%$. The cost price of the bicycle was

A person earns $15 \%$ on investment but loses $10 \%$ on another investment. If the ratio of the two investments be $3: 5,$ what is the gain or loss on the two investments taken together in $\%$?

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 $Rs.$ $45 ?$