Question : The cost price of an article is decreased by 10% and then increased by 20%. If the final price is INR 540, then the original cost price is:
Option 1: INR 500
Option 2: INR 650
Option 3: INR 550
Option 4: INR 600
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Correct Answer: INR 500
Solution :
Let the cost price be INR $x$.
The cost price first decreased by 10%, then increased by 20%.
So, $\frac{x×90×120}{100×100}=540$
⇒ $108x=54000$
⇒ $x=500$
Therefore, the original cost price = INR 500
Hence, the correct answer is INR 500.
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