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Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit. Then, the profit, in rupees, made by Shyam is

CAT · 2024 · Quant Slot 2
Question:
Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit. Then, the profit, in rupees, made by Shyam is

Options

1000
1260
2160
2000
Answer: 2160

Explanation:
Let the cost price (C.P.) of Bina = x. Selling price with 19% loss: 4860 = x × (1 − 0.19) = 0.81 × x ⇒ x = 4860 / 0.81 = 6000 So, Bina’s C.P. = 6000 Selling price for 17% profit (Hari’s purchase price): S_Hari = 6000 × (1 + 0.17) = 6000 × 1.17 = 7020 Shyam’s profit: Profit = Selling price − Purchase price = 7020 − 4860 = 2160

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