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Payal sells one article at 20% loss and another article for 60% profit. What is the selling price of the articles if the difference in cost price is Rs. 3200. (consider selling price for both the article is same)
1. Rs. 2500
2. Rs. 5600
3. Rs. 5120
4. Rs. 3060

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Correct Answer - Option 3 : Rs. 5120

Given:

First article sold at = 20% loss

Second article sold at = 60% profit

The difference of cost price = Rs. 3200

Selling price of both the article is same

Formula Used:

SP = CP + Profit

SP = CP - Loss

SP = CP × (100 + Profit%)/100

SP = CP × (100 - Loss%)/100

Calculation:

Case:1

Let the cost price of the first article be x

Loss % = 20%

SP = CP × (100 - Loss%)/100

⇒ x(100 - 20)/100 

⇒ 0.8x      

Case:2

Let the cost price of the second article be y 

Profit% = 60%

SP = CP × (100 + Profit%)/100

⇒ y(100 + 60)/100

⇒ 1.6y      

Now, A/Q

Selling price for both the article is same

0.8x = 1.6y

⇒ x/y = 1.6/0.8 = 2/1      ----(1)

Difference of cost price = Rs.3200

⇒ x - y = 3200

⇒ 2y - y = 3200

⇒ y = Rs. 3200

SP = 1.6y = 1.6 × 3200 = 5120

∴ The selling price of the article is Rs 5120

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