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

Entered answer:

✅ Correct Answer: 2160

We'll guide you through each step systematically to find Shyam's profit.

Understanding the Problem:

Bina sells to Shyam at Rs. 4860 (19% loss for Bina)

Shyam then sells to Hari at some price

If Bina had sold directly to Hari at Hari's purchase price, she'd make 17% profit

We need to find Shyam's profit.

Let's use a smart approach: Let Bina's cost price = $100x$

Why $100x$ ? This makes percentage calculations super easy - 19% of $100x$ is simply $19x$ !

When Bina sells at 19% loss:

Loss = 19% of $100x$ = $19x$

Selling price = Cost price - Loss = $100x - 19x = 81x$

We know this selling price equals Rs. 4860:

$81x = 4860$

$x = 4860 ÷ 81 = 60$

Therefore, Bina's cost price = $100x = 100 × 60 = \text{Rs. } 6000$

The key insight here: "If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit."

This means: Hari's purchase price = Price that gives Bina 17% profit

When Bina makes 17% profit:

Profit = 17% of 6000 = $0.17 × 6000 = 1020$

Selling price = Cost price + Profit = $6000 + 1020 = \text{Rs. } 7020$

Therefore, Hari's purchase price = Rs. 7020

Here's the transaction flow:

Shyam bought from Bina at Rs. 4860

Shyam sold to Hari at Rs. 7020

Shyam's profit = Selling price - Cost price = $7020 - 4860 = \text{Rs. } 2160$

Therefore, Shyam's profit is Rs. 2160.

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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

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