A lady shopkeeper allows her customers $10 %$ discount on the marked price of the goods and still gets a profit of $25 %$ . What is the cost price of a fan for her marked at Rs. 1250?

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Solution

Marked price (M.P) of fan = Rs. 1250
Discount $= 10 %$
$∴$ S.P of the fan
$= \frac{M . P \times (100 - d i s c o u n t %)}{100}$
$= \frac{1250 (100 - 10)}{100} = \frac{1250 \times 90}{100} = R s . 1125$
Gain $= 25 %$
$∴$ Cost price $= \frac{S . P \times 100}{100 + g a i n %}$
$= R s . \frac{1125 \times 100}{100 + 25} = R s . \frac{1125 \times 100}{125}$

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A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs. 1250?

Marked price (M.P) of fan = Rs. 1250 Discount =10% ∴ S.P of the fan =M.P×(100−discount%)100 =1250(100−10)100=1250×90100=Rs.1125 Gain =25% ∴ Cost price =S.P×100100+gain% =Rs.1125×100100+25=Rs.1125×100125

A lady shopkeeper allows her customers $10 %$ discount on the marked price of the goods and still gets a profit of $25 %$ . What is the cost price of a fan for her marked at Rs. 1250?