A shopkeeper allows his customers $10 %$ 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 $R s 250$ ?

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Solution

Marked Price $= R s . 250$

Discount $= 10 %$

Selling Price = Marked Price $- 10 %$ of Marked Price

SP = $250 - \frac{10}{100} \times 250 = 250 - 25 = R s . 225$

Now, Profit $= 25 %$

$P r o f i t % = \frac{S . P . - C . P .}{C . P .} \times 100$

Then, $C P = S P - 25 %$ of $C P$

$125 % o f C P = S P$

$C P = \frac{225 \times 100}{125}$

$C P = R s . 180$

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Q. A shopkeeper allows a discount of

10

% to his customers and still gains

20

%. Find the marked price of an article which costs

450

to the shopkeeper.

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A shopkeeper allows his customers 10% 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 Rs250?

Marked Price =Rs.250Discount =10%Selling Price = Marked Price −10% of Marked PriceSP = 250−10100×250=250−25=Rs.225Now, Profit =25%Profit%=S.P.−C.P.C.P.×100Then, CP=SP−25% of CP125%ofCP=SPCP=225×100125CP=Rs.180

A shopkeeper allows his customers $10 %$ 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 $R s 250$ ?