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

A man loses $20 \frac{1}{2} \%$ of his money and after spending $80 \%$ of the remainder, he is left with $Rs.\, 159 .$ How much did he have at first? (in $Rs.$)

A man purchases some oranges at the rate of $3$ for $Rs.\,40$ and the same quantity at $5$ for $Rs.\, 60.$ If he sells all the oranges at the rate of $3$ for $Rs.\, 50,$ find his gain or loss percent (to the nearest integer).

A man buys two chairs for a total cost of $900.$ By selling one for $\frac{4}{5}$ of its cost and the other for $\frac{5}{4}$ of its cost, he makes a profit of $90$ on the whole transaction. The cost of the lower priced chair is (in $Rs.$)

The printed price of an article is $40 \%$ higher than its cost price. Then the rate discount so that he gains $12 \%$ profit is.........$\%$

When a producer allows $36 \%$ concession on the retail price of his product, he earns a profit of $8.8 \% .$ What would be his profit percent if the commission is reduced by $24 \% ?$