Ajit calculates his profit percentage on the selling price,whereas Rohit calculates his on the cost price. They find that the difference between their profits is $Rs. 100$. If the selling price for both of them is the same and both of them get a $25\%$ profit,find their selling price (in $Rs.$).

Gita buys a plot of land for $Rs. 96,000$. She sells $\frac{2}{5}$ of it at a loss of $6\%$. She wants to make a profit of $10\%$ on the whole transaction by selling the remaining land. The gain percentage on the remaining land is

Raheem sells a machine for $RS. 48$ lakh at a loss. Had he sold it for $RS. 60$ lakh,his gain would have been $5$ times the former loss. Find the cost price of the machine in lakh $Rs.$?

$A$ man bought nine pens for a rupee. How many pens should he sell for a rupee to gain $50 \%$?

Oil equal to $20 \%$ of the weight of groundnut is extracted in a mill. The matter left after extraction is sold as cattle feed at the rate of $Rs. 12.5$ per $kg$. The groundnuts are bought at $Rs. 20$ per $kg$ and the processing cost is $Rs. 5$ per $kg$. At what price ($Rs.$ per $kg$) should the oil be sold to earn $20 \%$ profit on total costs (Total cost $=$ cost of groundnuts and processing costs)?

$A$ 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 $35 \%?$