Question
A person saves 20% of his monthly earnings. If his
monthly earnings increase by 70%, then by how much percent should he increase his monthly expenditure so as to save the same amount that he saved before?Solution
ATQ; Let the initial earnings of the person be Rs. β100xβ Initial savings of the person = 100x Γ 0.2 = Rs. β20xβ Initial expenditure of the person = 100x β 20x = Rs. β80xβ New earnings of the person = 100x Γ 1.7 = Rs. β170xβ New savings of the person = 170x β 20x = Rs. β150xβ Required percentage = {(150x β 80x)/80x} Γ 100 = 87.5%
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