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. |

$$ Profit \% = \frac{Profit}{CP} \times 100 $$ 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, $$ Profit \ \% = \frac{Profit}{CP} \times 100 $$ $$ 10 = \frac{profit}{2000} \times 100 $$ $$ Profit = \frac{20000}{100} = 200 \ Rs. $$

$$ Loss \ \% = \frac{Loss}{CP} \times 100 $$ 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, $$ Loss \ \% = \frac{Loss}{CP} \times 100 $$ $$ 5 = \frac{Loss}{3500} \times 100 $$ $$ Loss = \frac{17500}{100} = 175 \ Rs. $$

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