Question
The cost of an item rose by 20%. Because of this, the
number of items sold dropped by 10%. What is the overall percentage change in total earnings?Solution
ATQ,
Let the initial cost per item be Rs. β10aβ And initial quantity sold be β10bβ So, original revenue = 10a Γ 10b = Rs. β100abβ New price per item = 10a Γ 1.2 = Rs. β12aβ New quantity sold = 10b Γ 0.9 = Rs. β9bβ New revenue = 12a Γ 9b = Rs. β108abβ Net change = {(108ab β 100ab)/100ab} Γ 100 = 8% increase
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