Question
Z spends 65% of his salary and saves the remaining.
After his salary is increased by 30%, 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
⇒ Let his salary be Rs. 100 ⇒ His expenditure = 65% of 100 = Rs. 65 ⇒ His saving = Rs. (100 – 65) = Rs. 35 ⇒ Salary increased by 30% ⇒ New salary = Rs. (100 × 130)/100 = Rs. 130 ⇒ saving on increased amount = Rs. 45% ×  35 = Rs. 15.75 ⇒ New Saving = Rs. (35 + 15.75) = Rs. 50.75 ⇒ required increase in saving = (50.75 – 35)/35 × 100 ∴ required increase in saving = 45%
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