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The profit earned on selling an article for Rs. 4550 is 5 times of the loss incurred on selling the same article for Rs. 3290. What will be the sellin
Question

The profit earned on selling an article for Rs. 4550 is 5 times of the loss incurred on selling the same article for Rs. 3290. What will be the selling price of the article to earn a profit of 20 percent?

A.

Rs. 3900

B.

Rs. 4200

C.

Rs. 4000

D.

Rs. 4500

Correct option is B

Given:
Selling price 1 = Rs. 4550
Selling price 2 = Rs. 3290
Profit = 5 ×Loss

Formula Used:
Profit = Selling Price- Cost Price
Loss =Cost Price -Selling Price
Solution:

Let the cost price be C.
Profit = 4550 - C
Loss = C - 3290
Profit = 5 ×Loss
4550 - C = 5 × (C - 3290)
4550 - C = 5C - 16450
4550 + 16450 = 6C
21000 = 6C
C = 3500
Selling price for 20% profit = 1.2 ×3500 = 4200
Thus, the selling price is Rs. 4200.

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