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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.

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#### 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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