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. |

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

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

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

Lec 1: Introduction
Exercise-1
Lec 2: Profit and Loss Case-1
Exercise-2
Lec 3: Profit and Loss Case-2
Exercise-3
Lec 4: Profit and Loss Case-3
Exercise-4
Lec 5: Case of Discount
Exercise-5