Due to a $20\%$ rise in the price of sugar,a bachelor is able to buy $1.5\, kg$ less for $Rs.\, 135$. What is the increased price of sugar per $kg$ in $Rs.$?

An article was purchased for $Rs. 78,350$. Its price was marked up by $30 \%$. It was sold at a discount of $20 \%$ on the marked-up price. What was the profit percent on the cost price (in $\%$)?

$A$ man purchased some eggs at $3$ for $Rs. 5$ and sold them at $5$ for $Rs. 12$. Thus,he gained $Rs. 143$ in all. The number of eggs he bought is:

Find $CP$ when $SP = Rs. 40.60$ and $\text{gain} = 16\%$.

$A$ shopkeeper sells sugar in such a way that the selling price of $950 \ g$ of sugar is the same as the cost price of $1 \ kg$ of sugar. What is his gain percent?

If the cost price of $12$ pens is equal to the selling price of $8$ pens,find the gain percent.