Arun buys one kilogram of apples for $Rs. 120$ and sells it to Swati gaining $25\%$. Swati sells it to Divya who again sells it for $Rs. 198$,making a profit of $10\%$. What is the profit percentage made by Swati (in $\%$)?

On a $Rs. 10,000$ payment order,a person has a choice between three successive discounts of $10\%, 10\%$ and $30\%$ and three successive discounts of $40\%, 5\%$ and $5\%$. By choosing the better offer,how much can he save 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 in lakh $Rs.$?

$A$ shopkeeper professes to sell his goods at cost price but uses a $930 \text{ g}$ weight instead of $1 \text{ kg}$ weight. What will be the profit percentage of the shopkeeper (in $\%$)?

$A$ retailer offers the following discount schemes for buyers on an article:
$I.$ Two successive discounts of $10 \%$
$II.$ $A$ discount of $12 \%$ followed by a discount of $8 \%$
$III.$ Successive discounts of $15 \%$ and $5 \%$
$IV.$ $A$ discount of $20 \%$
The selling price will be minimum under the scheme:

$A$ shopkeeper sells a badminton racket,whose marked price is $Rs. 30$,at a discount of $15\%$ and gives a shuttlecock costing $Rs. 1.50$ free with each racket. Even then,he makes a profit of $20\%$. His cost price per racket is (in $Rs$):