Here we discussed the main concepts of quantitative aptitude, which are Profit and Loss. You must know these basic concepts, formulas, and tricks. It helps you to solve problems quickly in your competitive exams.

## Cost Price

The price at which a person purchases an item is called Cost Price(CP).

CP = (100 × SP)÷(100 + Profit%)

CP = (100 × SP)÷(100 – Loss%)

## Selling Price

The price at which a person sells the item is called the Selling Price(SP).

SP = (100 + Profit%) × CP/100

SP = (100 – Loss%) × CP/100

## Profit

If a person sells an item at a price that is more than the actual price, he makes a profit.

Profit = Selling Price(SP) – Cost Price(CP)

Profit% = (Profit/CP) × 100

## Loss

If a person sells an item that is less than the actual price, he makes a loss.

Loss = Cost Price(CP) – Selling Price(SP)

Loss% = (Loss/CP) × 100

## Marked Price

Marked price is also named tagged, displayed, or labeled price. They allow a discount on the Marked Price.

## Trick 1

If the selling price of X goods = Cost price of Y goods then,

Profit% or Loss% = (Goods left/ Goods sold)×100 = (Y–X)×100/X

If Y-X is positive, it returns a profit.

If Y-X is negative, it returns a loss.

## Trick 2

If CP1=CP2 and half of the goods are sold at an X% profit and the remaining half of the goods at Y% loss then, the overall or net gain/loss percent is (X-Y)/2

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