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

$I.$ $2 x^{2}+19 x+45=0$

$II.$ $2 y^{2}+11 y+12=0$

A fair price shopkeeper takes $10 \%$ profit on his goods. He lost $20 \%$ goods during theft his loss $\%$ is

A dairyman pays $Rs.\, 6.40$ per litre of milk. He adds water and sells the mixture at $Rs.\, 8$ per litre, thereby making $37.5\%$ profit. The proportion of water to milk received by the customers is

A shopkeeper sold one$-$third of his goods at a loss of $15 \% .$ To get a profit of $10 \%$ on the whole transaction, he should sell the remaining articles at a profit of in $\%$

A man bought $4$ dozen eggs at $Rs.\, 24$ per dozen and $2$ dozen eggs at $Rs.\, 32$ per dozen. To gain $20\%$ on the whole, he should sell the eggs at in $Rs.$ per dozen

Ravipurchases $90$ pens and sells $40$ pens at a gain of $10 \%$ and $50$ pens at a gain of $20 \% .$ Had he sold all of them at a uniform profit of $15 \%$ he would have got $Rs.\, 40$ less. Find the cost price of each pen in $Rs.$