Profit Percentage

Fundamental Principles

Absolute Profit

The positive financial difference obtained by subtracting the Cost Price from the Selling Price (SP - CP).

The ratio of absolute profit to the Cost Price, expressed as a fraction of 100.

Essential Formulation Tips

Unless a problem explicitly states otherwise, profit percentages are always calculated using the Cost Price as the baseline divisor.
To find the Selling Price directly during a profitable sale, multiply the Cost Price by (100 + Profit %) / 100.

Shortcut Execution Techniques

If the profit is 25%, the ratio of Cost Price to Selling Price can be quickly written as 100:125, which simplifies to 4:5.

Contextual Inquiries (FAQs)

Q: Can you calculate a profit percentage using the Selling Price?

A: In real-world accounting, yes, but in standard aptitude tests, it defaults to the Cost Price unless the question specifies using the Selling Price.

Example Breakdown: Calculating Profit Percentage from a Sale

Standard profit margin calculation.

Problem QueryA retailer buys an inventory item for $80 and sells it to a consumer for $100. Calculate the profit percentage.

Step-By-Step Solution Path

Find the absolute profit: SP - CP = $100 - $80 = $20.

Set up the percentage formula relative to CP: (Profit / CP) * 100.

Calculate the final value: ($20 / $80) * 100 = 0.25 * 100 = 25%.

Analytical Hint: Divide the absolute gain by the original cost price, not the final selling price.

Profit Percentage Calculations

Practice working with profit margins, baseline conversions, and price ratios.

Q1. An item bought for $250 is sold for $300. What is the exact profit percentage achieved?