The price of an article is first increased by 30% and then decreased by 20%. Due to these successive changes, the final price becomes ₹40 more than the original price. What is the original price of the article?
₹1,000
Let the original price be \(P\).
After a \(30\%\) increase followed by a \(20\%\) decrease, the final price is \(P\times1.3\times0.8=1.04P\).
Given that the final price exceeds the original price by ₹40: \(1.04P-P=40\), so \(0.04P=40\).
Solving, \(P=\frac{40}{0.04}=1000\). Hence, the original price of the article is ₹1,000.
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