$A$ 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 $Rs.$)

A shopkeeper sold an article offering a discount of $5 \%$ and earned a profit of $23.5 \% .$ What would have been the percentage of profit earned if no discount was offered?

Half of $100$ articles were sold at a profit of $20 \%$ and the rest at a profit of $40 \% .$ If all of the articles had been sold at a profit of $25 \%,$ the total profit would have been $Rs.\,100$ less than earlier profit. The cost price of each article was (in $Rs.$)

By Selling $80\, ball$ pens for $Rs.\, 140$, a retailer loses $30 \% .$ How many ball pens should he sell for $Rs.\,104$ so as to make a profit of $30 \% ?$

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 $Rs.\,84?$

Mr. Kapur purchased two toy cycles for $Rs. 750$ each. He sold these cycles, gaining $6 \%$ on one and losing $4 \%$ on the other. The gain or loss percent in the whole transaction is