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 the purchase price of the product for Hari be \( P \). 

Step 2: Bina sells the product to Shyam at a 19% loss. She sells it for ₹4860.
That means: \[ P \times (1 - 0.19) = 4860 \Rightarrow P \times 0.81 = 4860 \Rightarrow P = \frac{4860}{0.81} = 6000 \] So, the purchase price of the product for Hari is ₹6000.

Step 3: Bina would have made a 17% profit if she had sold the product at ₹6000.
That means the price at which she bought the product (from someone else) is: \[ \text{Cost Price for Bina} = \frac{6000}{1 + 0.17} = \frac{6000}{1.17} \approx 5128.21 \] But in this case, we don’t need Bina’s cost price. Instead, consider this:
If Shyam had bought the product at ₹6000 (Hari’s cost), he would’ve incurred a 17% profit for Bina.
So, \[ \text{Shyam’s Cost Price} = 6000 \times (1 + 0.17) = 6000 \times 1.17 = 7020 \]

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

Final Answer: Shyam incurred a loss of ₹2160.