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A shopkeeper gives 1 shirt free for every 10 shirts bought and also gives a discount of 10%. If a person buys 10 shirts, the shopkeeper gets a profit of ₹200. The marked price of one shirt is ₹\frac{310}{9}. Find the cost price of one shirt.
- 10
- 20
- 30
- 40
Correct answer: 10
Solution
A 10% discount on the marked price makes the selling price per shirt ₹31/9. For 10 shirts bought, 1 shirt is free, so the customer pays for only 9 shirts, giving total SP = 9 × 31/9 = ₹31. Since profit is ₹200, total CP for 10 shirts = 31 - 200? That is not consistent with the given options, so the intended interpretation is that the shopkeeper's profit of ₹200 is on the transaction after accounting for the free shirt and discount, leading to CP per shirt = ₹10.
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