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The cost price of an article is decreased by 10% and then increased by 20%. If the final price is ?540, then the original cost price is:
Rs.500
Rs.650
Rs.550
Rs.600
To find the original cost price, we need to reverse the percentage changes applied to the final price.
- Let's assume the original cost price is Rs. X.
- First, it's decreased by 10%: X−0.1X=0.9X.
- Then it's increased by 20%: 0.9X+0.18X=1.08X.
- The final price, after these changes, is Rs. 540.
So, we set up the equation:
1.08X=540
Solving for X:
- Divide both sides by 1.08:
X=5401.08=500
- Option 1: Rs. 500 is indeed the original cost price.
Option 1: Rs. 500
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