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

Answer 1

Correct Answer: 2160

Step 1: Let Hari's purchase price of the product be \( P \).Nbsp;

Step 2: Bina sold the product to Shyam at a 19% loss for ₹4860. This means: \[ P \times (1 - 0.19) = 4860 \Rightarrow P \times 0.81 = 4860 \Rightarrow P = \frac{4860}{0.81} = 6000 \] Therefore, Hari's purchase price was ₹6000.

Step 3: If Bina had sold the product for ₹6000, she would have made a 17% profit. This implies the price she originally paid for the product was: \[ \text{Bina's Cost Price} = \frac{6000}{1 + 0.17} = \frac{6000}{1.17} \approx 5128.21 \] However, Bina's cost price is not needed. Instead, consider this: If Shyam had purchased the product for ₹6000 (Hari's cost), Bina would have made a 17% profit. Thus: \[ \text{Shyam’s Cost Price} = 6000 \times (1 + 0.17) = 6000 \times 1.17 = 7020 \]

Step 4: Shyam sold the product to Hari for ₹4860. His loss is calculated as: \[ 7020 - 4860 = \boxed{2160} \]

Final Answer: Shyam incurred a loss of ₹2160.