A plate was sold for $Rs.\,6,300$ after giving two successive discounts of $12^{1 / 2} \%$ and $10 \% .$ Find the marked price. (in $Rs.$)

A discountof $40 \%$ on the marked price of atrouser enables Ajit to purchase a shirt also which costs him $Rs.\,320.$ How much did Ajit payfor the trouser? (in $Rs.$)

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. $Rs.$ in lakh ?

A pen was sold for a certain sum and there was a loss of $20 \% .$ Had it been sold for $Rs.\, 12$ more, there would have been a gain of $30 \% .$ What would be the profit if the pen was sold for $Rs.\, 4.80$ more than what it was sold for? (in $\%$)

Tarun bought a $TV$ with $20 \%$ discount on the labelled price. Had he bought it with $25 \%$ discount, he would have saved $Rs.\,500.$ At what price did he buy the $TV?$

When a plot was sold for $Rs$ $18700,$ the owner lost $15 \% .$ At what price must the plot be sold in order to gain $15 \% ?$