A man buys $100\, kg$ of sugar for $Rs.\, 2400 .$ He sold $1 / 4$ th of the stock at a loss of $5 \% .$ At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

A trader marks his goods $40 \%$ above the cost price and allows a discount of $25 \% .$ The profit he makes, is in $\%$

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 shopkeeper sold some article at the rate of $Rs.\, 35$ per article and earned profit of $40 \% .$ At what price each article should have been sold so that profit of $60 \%$ was earned. in$Rs.$

Kritika bought $25$ $i-$pads and $i-$phones for $Rs.\, 205000.$ She sold $80 \%$ of the $i-$pads and $12$ $i-$phones for a profit of $Rs.\, 40000.$ Each $i-$pad was marked up by $20 \%$ over cost and each $i-$phone was sold at a profit of $Rs.\, 2000.$ The remaining $i-$pads and $3$ $i-$phones could not be sold. What is Kritika's overall profit$/$loss?

A shopkeeper cheats to the extent of $10 \%$ while buying as well as selling, by using false weights. His total gain is in $\%$