Profit and Loss Formula, Basic Concepts, and Ticks | Quantitative Aptitude

Profit and loss formula and tricks in Quantitative Aptitude

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 the 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


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


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

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