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Raman bought two pens for Rs. 225. He sold one at a loss of 30 percent and other at a profit of 40 percent. If each pen was sold for the same price, then what is the cost price of the pen which was sold at loss?
1. Rs. 180
2. Rs. 150
3. Rs. 120
4. Rs. 160

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Correct Answer - Option 2 : Rs. 150

Given:

The Ram bought two pens = Rs. 225

Concept:

The loss = Cost price - Selling price

The profit = Selling price - Cost price

Calculation:

Let us assume cost price of the two pens are X and Y respectively

⇒ X + Y = 225     ----(1)

⇒ The selling price of the first pen = 0.7X

⇒ The selling price of the second pen = 1.4Y

⇒ The selling price of the pens are the same

⇒ 0.7X = 1.4Y

⇒ X = 2Y     ----(2)

⇒ By solving both equations (1) and (2)

⇒ X = 150, and Y = 75

⇒ The cost price of the pen which is sold at loss = X = 150

∴ The required result will be 150.

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