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Question
The cost of an article is first increased by 20% and then decreased by 30%, find the percentage change in the cost of the article.
Solution
Let the original cost = ₹100
Increased by 20%
∴ New cost = 100 + 20 = ₹120
Decreased by 30% = `(120 xx 30)/(100)` = ₹36
∴ New cost = 120 - 36 = ₹84
Overall change = 100 - 84 = ₹ 16
Required percentage = `(16)/(100) xx 100` = 16% decrease
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