A man sells each of his $2$ articles for $Rs.$ $99.$ On one he gains $10 \%$ and on the other he incurred a loss of $1 \%$ in the entire transaction. What is his total gain in $\%$?
$9$
$4 \frac{4}{19}$
$4.5$
$5.5$
A merchant buys $4000\, kg$ of wheat, one$-$fifth of which he sells at a gain of $5$ per cent, one$-$fourth at a gain of $10 \%$, one-half at a gain of $12$ percent, and the remainder at a gain of $16$ percent. If he had sold the whole at a gain of $11$ percent, he would have made $Rs.\, 72.80$ more. What was the cost price of the crop per kg? (in $Rs.$)
Allowing $20 \%$ and $15 \%$ successive discounts, the selling price of an article becomes $Rs.\,3,060;$ then the marked price will be (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.
$I.$ $2 x^{2}+19 x+45=0$
$II.$ $2 y^{2}+11 y+12=0$
A dealer marks his goods $30 \%$ above his cost price and then allows $15 \%$ discount on it. What is the cost price of an article on which he gains $Rs.\,84?$
A man buys $100\, kg$ of sugar for $Rs.\, 2400 .$ He sold $1 / 4$ th of the stock at a loss of $5 \% .$ At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)