A machine is sold at a profit of $15 \%$. Had it been sold for $Rs\,540$ more $24 \%$ would have been gained. Find the cost price.

A dishonest dealer defrauds to the extent of $x \%$ in buying as well as selling his goods by using faulty weight. What will be the gain per cent on his outlay?

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?

Profit of $Rs.\, 144000$ has to be divided among three partners Akram, Bipin and Chintan in the ratio $3 : 2: 7 .$ How much $Rs.$ does Chinatn get?

A trader mixes $26\, kg$ of rice at $Rs$. $20$ per $kg$ with $30\, kg$ of rice of other variety at $Rs.\, 36$ per $kg$ and sells the mixture at $Rs.\, 30$ per $kg.$ His profit percent is

A shopkeeper sold an item at $10 \%$ loss after giving a discount equal to half the marked price. The cost price of the item is......... of marked price