By selling an article at 20%. discount. a shopkeeper gains 25%. If the selling price of the article is Rs. 1.440; find: (i) the marked price of the article. (ii) the cost price of the article.

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Solution

S.P. of the article = Rs.1440
Let marked price = Rs. 100x
Discount = 20%
$∴$ S.P. = $\frac{100 x (100 - 20)}{100} = 80 x$
According to statement, 80x = 1440
$x = \frac{1440}{80} \Rightarrow x = 18$
$∴$ x = 18
$∴$ Marked price = 100x = 100 $\times$ 18 = Rs.1800
S.P. = Rs.1440
Profit = 25 %
$∴$ C.P.= $\frac{100 \times S . P .}{100 + 25} = \frac{100 \times 1440}{125} = \frac{4}{5} \times 1440$
= 4 $\times$ 288= Rs.1152

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