Question
X spends 45% of his salary and saves the remaining.
After his salary is increased by 15%, he saves 45% of the increased amount besides the amount he used to save earlier. What will be the percentage change in his monthly savings?Solution
β Let his salary be Rs. 100 β His expenditure = 45% of 100 = Rs. 45 β His saving = Rs. (100 β 45) = Rs. 55 β Salary increased by 15% β New salary = Rs. (100 Γ 115)/100 = Rs. 115 β saving on increased amount = Rs. 45%Β Γ Β 55 = Rs. 24.75 β New Saving = Rs. (55 + 24.75) = Rs. 79.75 β required increase in saving = (79.75 β 55)/55 Γ 100 β΄ required increase in saving = 45%
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