A trader sold an article at a gain of $20 \%$. Had he purchased it for $40 \%$ more and sold for $Rs.\, 24$ less, he would have incurred a loss of $20 \%$. What is the cost price (in $Rs.$) of the article?

$A$ and $B$ started a business by investing $Rs.\, 3,50,000$ and $Rs.,1,40,000$ respectively. A gets $20\%$ of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If $A$ receives totally $Rs.\,38,000$ more than $B$ at the end of a $year,$ then the profit is (in $Rs.$)

By selling an article at $80 \%$ of its marked price, a shopkeeper makes a loss of $10 \% .$ What will be the profit percentage if he sells it at $95 \%$ of its marked price?

Anil bought an item with $12 \frac{1}{2} \%$ discount on the labellea price. He sold the item with $17 \frac{1}{2} \%$ profit on the labelled price. What was, his percent profit on the price he bought?

A person sold a radio at a loss of $5 \% .$ Had he sold it for $Rs\, 210$ more, he would have gained $25 \%$. For what value should he sell it in order to gain $35 \% ?$

If a banana cost is $Rs.\, 1.25$ and apple cost is $Rs .\,1 .75$ the what will be the cost of $2$ Dozen of Banana and $3$ Dozen of apple in $Rs.$?