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Question
The cost of an article is first decreased by 25% and then further decreased by 40%. Find the percentage change in the cost of the article.
Solution
Let the original cost = ₹100
Decreased by 25%
∴ New cost = 100 - 25 = ₹75
Decreased by 40%
= `(75 xx 40)/(100)` = ₹30
∴ New cost = ₹75 - 30 = ₹45
Overall change = 100 - 45 = ₹55
Required percentage
= `(55)/(100) xx 100`
= 55% decrease
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