Richa purchased an article at $\frac{4}{5}$ of its list price and sold it for $20 %$ more than the list price. Richa's profit per cent was

50 %

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40 %

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30 %

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25 %

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Solution

The correct option is C $50 %$
Let list price of article be Rs. $100$
$∴$ Cost Price $= \frac{4}{5} \times 100 =$ Rs. $80$

$∴$ Selling Price $= \frac{120}{100} \times 100 =$ Rs. $120$

$\Rightarrow$ Profit $= 120 - 80 =$ Rs. $40$

$∴$ Profit $%$ $= \frac{P r o f i t}{C . P .} \times 100$
$= \frac{40}{80} \times 100 = 50 %$

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Richa purchased an article at 45 of its list price and sold it for 20% more than the list price. Richa's profit per cent was

The correct option is C 50%Let list price of article be Rs. 100∴ Cost Price =45×100= Rs. 80∴ Selling Price =120100×100= Rs. 120⇒ Profit =120−80= Rs. 40∴ Profit % =ProfitC.P.×100 =4080×100=50%

Richa purchased an article at $\frac{4}{5}$ of its list price and sold it for $20 %$ more than the list price. Richa's profit per cent was