Question 55

The profit (in Rs.) after selling an article for Rs.524 is the same as the loss (in Rs.) after selling it for Rs.452. The cost price of the article is:

Solution

Let the cost price of the article = Rs. $$x$$

When selling price = Rs. 524

=> Profit = Rs. $$(524-x)$$

Similarly, when selling price = Rs. 452

=> Loss - Rs. $$(x-452)$$

According to ques, => $$(524-x)=(x-452)$$

=> $$x+x=524+452$$

=> $$2x=976$$

=> $$x=\frac{976}{2}=Rs.$$ $$488$$

=> Ans - (C)

Shortcut : CP = $$\frac{524+452}{2}=\frac{976}{2}=Rs.$$ $$488$$

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