Question Details

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

A

2160

B

400

C

2500

D

1800

Show Answer

Correct Answer :

Option A

2160

Solution :

The correct option is 2160.

Let us break down the problem step-by-step to understand how to arrive at the solution.

Step 1: Calculate the Cost Price (CP) for Bina
Bina sells the product to Shyam at Rs. 4860 and incurs a 19% loss.
This means the selling price for Bina (Rs. 4860) is equal to 81% (since 100% - 19% = 81%) of her Cost Price (CPBina).

CPBina = 48600.81 = 6000

So, Bina bought the product for Rs. 6000.

Step 2: Understand the scenario where Bina sells at Hari's purchase price
We are given that if Bina had sold the product to Shyam at the purchase price of Hari (which is the selling price of Shyam, let's call it SPShyam), she would have made a 17% profit on her Cost Price.
Since Bina's Cost Price is Rs. 6000, a 17% profit would make the selling price:

SPShyam = CPBina × ( 1 + 0.17 )

SPShyam = 6000 × 1.17 = 7020

Thus, Hari purchased the product from Shyam for Rs. 7020.

Step 3: Calculate the profit made by Shyam
Shyam purchased the product from Bina for Rs. 4860 (which is the Cost Price for Shyam, CPShyam) and sold it to Hari for Rs. 7020 (SPShyam).
The profit made by Shyam is the difference between his selling price and cost price:

Profit = SPShyam - CPShyam

Profit = 7020 - 4860 = 2160

Therefore, the profit, in rupees, made by Shyam is Rs. 2160.

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