# Percentage and Discount

A ratio is an expression that compares quantities relative to each other.

When we compare two quantities in relation to each other, such a comparison is mathematically expressed as a ratio.

Percent means ‘per hundred’ or out of hundred.

Percentage is another way of comparing ratios that compares to hundred.

Percentage Change
change in a quantity can be positive, which means an increase, or negative, which means a decrease. Such a change can be measured by an increase percent or a decrease percent.
Percentage Change (Increase/Decrease)
Discount
discount is a price reduction offered on the marked price. Discounts are offered by shopkeepers to attract customers to buy goods and thereby increase sales.
Discount = Marked price (MP) – Sale price (SP)
discount is, in fact, a percentage decrease, because the amount of change or discount is compared with the initial price or marked price.
Sales Tax
Sales tax is charged by the government on the selling price of an item and is included in the bill amount.
Sales tax has been replaced by a new tax called Value Added Tax (VAT).
Normally, VAT is included in the price of items like groceries.
Profit and Loss
Profit and loss depend on cost price and selling price. If cost price is less than selling price, there is a profitProfit is calculated by subtracting cost price from selling price.
Profit = SP – CP
If cost price is greater than selling price, then there is a lossLoss is calculated by subtracting selling price from cost price.
Loss = CP – SP.
You can calculate profit percent or loss percent by using these formulae.
Profit% =
Loss% =
There are certain expenses like transportation, labour charges, repairs and rent, etc. Such additional expenses are called overhead charges.
In such cases, the new cost price will be cost price of the goods plus overhead charges.
Profit = SP – CP
Loss = CP – SP
Profit% =
Loss% =

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