# Cost Price and Selling Price 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.

#### Selling Price Formula:

$$SP = \frac{100 \pm Profit/Loss \ \%}{100} \times CP$$

#### Cost Price Formula:

$$CP = \frac{SP \times 100}{100 \pm Profit/Loss \ \%}$$

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

Note: use positive (+) sign if in the question the value of profit % is given or asks to find profit % and use negative (-) sign if in the question the value of loss % is given or asks to find loss %.

Example (1): A seller named Ram sold a book for $$Rs.200$$ and made a profit of $$10 \ \%$$. What will be the Cost Price (CP) of the book?

Solution: Given values are Selling Price $$(SP) = Rs.200$$, $$Profit \ \% = 10 \ \%$$.

According to case (1)- $$SP = \frac{100 \pm Profit/Loss \ \%}{100} \times CP$$ $$200 = \frac{100 + 10}{100} \times CP$$ $$200 = \frac{110}{100} \times CP$$ $$Cost \ Price \ (CP) = \frac{20000}{110}$$ $$= 181.81 \ (Answer)$$

Example (2): A seller sold an article with the loss of $$10 \ \%$$ for $$Rs.300$$. What will be the Cost Price (CP) of the article?

Solution: Given values are Selling Price $$(SP) = Rs.300$$, $$loss \ \% = 10 \ \%$$.

According to case (1)- $$SP = \frac{100 \pm Profit/Loss \ \%}{100} \times CP$$ $$300 = \frac{100 - 10}{100} \times CP$$ $$300 = \frac{90}{100} \times CP$$ $$Cost \ Price \ (CP) = \frac{30000}{90}$$ $$= 333.33 \ (Answer)$$

Example (3): A man purchased an article for $$Rs.500$$ and sold with the loss of $$20 \ \%$$. What will be the selling Price (SP) of the article?

Solution: Given values are Cost Price $$(CP) = Rs.500$$, $$loss \ \% = 20 \ \%$$.

According to case (1)- $$SP = \frac{100 \pm Profit/Loss \ \%}{100} \times CP$$ $$SP = \frac{100 - 20}{100} \times 500$$ $$SP = \frac{80}{100} \times 500$$ $$SP = 400 \ (Answer)$$