A shopkeeper allows $20 %$ off on the marked price of goods and still gets a profit of $25 %$ . What is the actual cost to him of an article marked Rs. 500?

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Solution

Marked price (M.P) of an article = Rs. 500
Discount allowed $= 20 %$
$∴$ Selling price (S.P) $= \frac{M . P \times (100 - D i s c o u n t %)}{100}$
$= R s . \frac{500 \times (100 - 20)}{100} = R s . \frac{500 \times 80}{100} = R s . 400$
Gain $= 25 %$
$∴$ C.P $= \frac{S . P \times 100}{100 + g a i n %}$
$= \frac{400 \times 100}{100 + 25} = R s . \frac{400 \times 100}{125} = R s . 320$

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A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 500?

Marked price (M.P) of an article = Rs. 500 Discount allowed =20% ∴ Selling price (S.P) =M.P×(100−Discount%)100 =Rs.500×(100−20)100=Rs.500×80100=Rs.400 Gain =25% ∴ C.P =S.P×100100+gain% =400×100100+25=Rs.400×100125=Rs.320

A shopkeeper allows $20 %$ off on the marked price of goods and still gets a profit of $25 %$ . What is the actual cost to him of an article marked Rs. 500?