A shopkeeper marked an article at Rs. 1500 and gives discount to a customer of 10% but still earns a profit of 20%. Find the cost price of the article.
A shopkeeper marked an article at Rs. 1500 and gives discount to a customer of 10% but still earns a profit of 20%. Find the cost price of the article.
ARs. 1135
BRs. 1115
CRs. 1125
DRs. 1145
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Correct Answer: [Rs. 1125]
Explanation:
The shopkeeper marked the article at Rs. 1500 and gave a 10% discount. The selling price (SP) after discount is calculated as:
\( \text{Discount} = 10\% \times 1500 = 150 \)
\(SP = 1500 - 150 = 1350 \)
The shopkeeper earns a 20% profit on the cost price (CP). Therefore,
\( SP = CP + 20\% \times CP = 1.20 \times CP \)
Setting up the equation for CP:
\( 1350 = 1.20 \times CP \)
Solving for CP:
\( CP = \frac{1350}{1.20} = 1125 \)
Thus, the cost price of the article is Rs. 1125.
Final Answer: \( \boxed{1125} \)
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