The marked price of an article is Rs 2,800 which is 40% above the cost price. If it is sold by allowing 20% discount, what will be the profit percent?

Solution:

For an article,

Marked Price (MP) = Rs 2800

Marked Price (MP) = CP + 40% of CP

$or, 2800 = CP ( 1 + 40%)$

$or, 2800 = CP ( 1 + \frac{40}{100})$

$or, 2800 = CP × \frac{140}{100}$

$or, CP = \dfrac{2800×100}{140}$

$\therefore CP = Rs 2000$

And,

Selling price (SP) = $MP (1 - \frac{d%}{100}$

$= MP ( 1 - \frac{20}{100})$

$= 2800 × \frac{80}{100}$

$= Rs 2240$

Now,

Profit percentage (P%) = $\dfrac{SP - CP}{CP} × 100%$

$= \dfrac{2240 - 2000}{2000} × 100%$

$= \dfrac{240}{2000} × 100%$

$= 12%$

Hence, the required profit percentage in the trade of the article is 12%.

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