A shopkeeper sold an article offering discount of $5 \%$ and earn a profit of $23.5 \% .$ What would have been the percentage of profit earned if no discount has been offered?
$23$
$30$
$33$
Cannot be determined
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 $Rs.$
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 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 $\%$?
A bakery bakes cake with the expectation that it will earna profit of $40 \%$ by selling each cake at marked price. But during the delivery to showroom $16 \%$ of the cakes were completely damaged and hence could not be sold. $24 \%$ of the cakes were slightly damaged and hence could be sold at $80 \%$ of the cost price. The remaining $60 \%$ of the cakes were sold at marked price. What is the percentage profit in the whole consignment?
An item costing $Rs.\, 200$ is being sold at $10 \%$ loss. If the price is further reduced by $5 \%,$ the selling price will be (in $Rs.$)