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A shopkeeper marked an article 80% above the cost price. Sumit purchased the article at a discount of 50% and sold it to Ayush at a profit of 25%. If Ayush purchased the article for ₹4500, find the cost price of the article.
- ₹4200
- ₹4800
- ₹3600
- ₹4000
Correct answer: ₹4000
Solution
Ayush paid ₹4500, which is 25% more than Sumit’s cost to him, so Sumit bought it for ₹4500/1.25 = ₹3600. Since Sumit got a 50% discount, the marked price was ₹3600/0.5 = ₹7200. This marked price is 80% above cost price, so CP = ₹7200/1.8 = ₹4000.
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