Quant · Arithmetic

Profit, Loss and Discount

4 sub-topics · 33 lessons · 71 questions · 10 PYQs

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Profit and Loss Basics10 lessons · 21 questions · 3 PYQs

Costs, Overheads and Resale Chains5 lessons · 11 questions

Marked Price and Discount9 lessons · 20 questions · 3 PYQs

Mixed Sales and Dishonest Dealers9 lessons · 19 questions · 4 PYQs

Formula sheet

Markup needed for a target profit
$m=\frac{100(p+d)}{100-d}\%$
Marked price from two discounts
$\text{MP}=\frac{100D}{d_2-d_1}$
Markup, discount and profit
$\left(1+\frac{m}{100}\right)\left(1-\frac{d}{100}\right)=1+\frac{p}{100}$
Selling price after a discount
$\text{SP}=\text{MP}\times\left(1-\frac{d}{100}\right)$
Overall profit on several items
$\text{overall}\%=\frac{\sum C_i\,r_i}{\sum C_i}$
Equal markup and discount
$m=d=x\Rightarrow\text{loss of }\frac{x^2}{100}\%$
Profit percentage
$\text{profit}\%=\frac{\text{SP}-\text{CP}}{\text{CP}}\times100$
Selling price from cost price and back
$\text{SP}=\text{CP}\times\left(1\pm\frac{r}{100}\right),\quad\text{CP}=\frac{\text{SP}}{1\pm\frac{r}{100}}$