# Profit & Loss Percentage Aptitude Formulas, Definitions, & Examples:

#### Overview:

 Topic Included: Formulas, Definitions & Exmaples. Main Topic: Quantitative Aptitude. Quantitative Aptitude Sub-topic: Profit and Loss Aptitude Notes & Questions. Questions for practice: 10 Questions & Answers with Solutions.

#### Profit Percentage Formula:

$$Profit \% = \frac{Profit}{CP} \times 100$$ where, $$CP$$ = Cost Price.

In the formula given above, if out of three unknown, two are given in the question then you can simply find out the third unknown.

Example (1): A seller named Roni purchased a mobile for $$Rs.15000$$ and sold it for $$Rs.16000$$. What will be the profit percent $$(\%)$$ of the Roni?

Solution:Given values,

Cost Price $$(CP) = Rs.15000$$

Selling Price $$(SP) = Rs.16000$$.

$$profit = SP - CP$$ $$= 16000 - 15000 = Rs.1000$$, now according to formula given above, $$Profit \ \% = \frac{Profit}{CP} \times 100$$ $$Profit \ \% = \frac{1000}{15000} \times 100$$ $$Profit \% = \frac{1000}{150} = 6.67 \ \%$$

Example (2): A man purchased an article for $$Rs.2000$$ and sold with the profit of $$10 \ \%$$. What will be the profit of the man?

Solution:Given values, $$CP = Rs.2000$$, $$profit \ \% = 10 \ \%$$.

now according to formula given above, $$Profit \ \% = \frac{Profit}{CP} \times 100$$ $$10 = \frac{profit}{2000} \times 100$$ $$Profit = \frac{20000}{100} = 200 \ Rs.$$

#### Loss Percentage Formula:

$$Loss \ \% = \frac{Loss}{CP} \times 100$$ where, $$CP$$ = Cost Price.

In the formula given above, if out of three unknown, two are given in the question then you can simply find out the third unknown.

Example (1): A seller named Mak purchased a Handwatch for $$Rs.5000$$ and sold it for $$Rs.4500$$. What will be the Loss percent $$(\%)$$ of the Mak?

Solution:Given values,

Cost Price $$(CP) = Rs.5000$$

Selling Price $$(SP) = Rs.4500$$

Loss = CP - SP = 5000 - 4500 = Rs.500, now according to case (3), $$Loss \ \% = \frac{Loss}{CP} \times 100$$ $$Loss \ \% = \frac{500}{5000} \times 100$$ $$Loss \ \% = \frac{500}{50} = 10 \ \%$$

Example (2): A man purchased an article for $$Rs.3500$$ and sold with the loss of $$5 \ \%$$. how much will be the loss of the man?

Solution:Given values, $$CP = Rs.3500$$, $$loss \ \% = 5 \ \%$$.

now according to formula given above, $$Loss \ \% = \frac{Loss}{CP} \times 100$$ $$5 = \frac{Loss}{3500} \times 100$$ $$Loss = \frac{17500}{100} = 175 \ Rs.$$