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Mr Brown spends 65% of his monthly income and saves the rest. After being promoted, his salary increases by 40% and his expenses increase by
Question
Mr Brown spends 65% of his monthly income and saves the rest. After being promoted, his salary increases by 40% and his expenses increase by 20%. Find the percentage change in his savings.
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Mathematics
5 years
2021-07-19T13:33:58+00:00
2021-07-19T13:33:58+00:00 1 Answers
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Answers ( )
Answer:
There is a percentage increase of 77.1% in savings
Step-by-step explanation:
The answer can be determined by assigning a value to the income of Mr Brown.
Let Mr. Brown’s initial income = 100
Percentage spent = 65%
Amount spent = 100 x 0.65 = 65
Percentage he saves = 100 – 65% = 35%
Amount he saves = 100 x 0.35 = 35
Salary after increase = 1.40 x 100 = 140
Increase in expenses = 1.2 x 65 = 78
Amount saved after increase in income = 140 – 78 = 62
Percentage increase = (new amount saved / previous amount saved) – 1
Percentage increase = (62 / 35) – 1 = 0.771 = 77.1%