The price of an article is cut by $42 \%$. To restore it to its original value,the new price must be increased by (in $\%$):

The price of a chair is $Rs.\, 500$. It has been sold at two successive discounts of $10\%$ each. What is its selling price? (in $Rs.$)

$A$ fan is listed at $Rs. 150$ with a discount of $20 \%$. What additional discount must be offered to the customer to bring the net price to $Rs. 108$? (in $\%$)

$A$ shopkeeper gives two successive discounts of $7 \%$ each on the marked price of $Rs.\, 20,000$ of an article. The selling price of the article is (in $Rs.$):

When a discount of $20 \%$ is given on a sweater,the profit is $28 \% .$ If the discount is $14 \%,$ then the profit is (in $\%$)

$A$ man bought a motorcycle for $Rs. 32500$. He sold it for $Rs. 35000$,allowing the buyer a $6$ months credit. If the money is worth $4\%$ per annum,the gain percent is (in $\%$):