A shopkeeper gains 20% on an article after allowing a discount of 25%. Find the cost price of the article marked at Rs 25780.
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S. P. of the article = Rs. 1440
Let marked price = Rs. 100 x
Discount = 20%
∴ S. P. = (100x (100 – 20))/100 = 80x
According to statement, 80x = 1440
X = 1440/80 ⇒ x = 18
∴ x = 18
∴ Marked price = 100x = 100 × 18 = Rs. 1800
S.P. = Rs. 1440
Profit = 25%
∴ C. P. = (100 × S.P.)/ (100 + 25) = (100 × 1440)/125 = (4/5) × 1440
= 4 × 288 = Rs. 1152
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