On this page, we have compiled the complete list of short tricks and formula for CSAT questions related to Profit and Loss.

## Basic Formulae related to Profit (Gain) and Loss

**If the selling price (SP) > cost price (CP), then following formulae are applicable**:

$$Profit = SP - CP$$

$$SP = CP + Profit$$

$$CP = SP - Profit$$

**If Cost Price > Selling Price, then following formulae are applicable**:

$$Loss = CP - SP$$

$$SP = CP - Loss$$

$$CP = SP + Loss$$

## Important Formulae related to Profit and Loss

$$\text{Profit %} = \frac{profit \times 100}{\text{cost price}}$$

$$\text{Loss %} = \frac{loss \times 100}{\text{cost price}}$$

$$SP = CP \left(1 + \frac{\text{profit %}}{100}\right)$$

$$\therefore CP = \frac{SP}{\left(1 + \frac{\text{gain rate}}{100}\right)}$$

Now, **if CP was Rs.1**:

$$SP = \left(1 + \frac{\text{gain rate}}{100}\right)$$

$$SP = CP \left(1 - \frac{\text{loss %}}{100}\right)$$

$$\therefore CP = \frac{SP}{\left(1 - \frac{\text{loss rate}}{100}\right)}$$

Now, **if CP was Rs.1**:

$$SP = \left(1 - \frac{\text{loss rate}}{100}\right)$$

## Discount related formulae

$$\text{discount} = \text{marked price} - \text{selling price}$$

$$\text{selling price} = \text{marked price} - \text{discount}$$

$$\text{marked price} = \text{selling price} + \text{discount}$$

$$\text{discount} = \frac{\text{marked price} \times \text{rate of discount}}{100}$$

$$\text{rate of discount} = \frac{\text{discount rate} \times 100}{\text{marked price}}$$

$$\text{marked price} = \frac{\text{discount} \times 100}{\text{rate of discount}}$$

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