Help plzzzz!! I don't understand.

Financial advisers are often hired to manage people's retirement accounts by shifting how money is invested in stocks and bonds. During a particularly volatile stock market period, a financial adviser makes a number of changes to a client's stock allocation. She first decreases this allocation by 25% then increases it by 10% then increases it by an additional 50%. What is the approximate net percent increase in this client's stock allocation?

Question

02-04-2018
Mathematics

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Help plzzzz!! I don't understand.

Financial advisers are often hired to manage people's retirement accounts by shifting how money is invested in stocks and bonds. During a particularly volatile stock market period, a financial adviser makes a number of changes to a client's stock allocation. She first decreases this allocation by 25% then increases it by 10% then increases it by an additional 50%. What is the approximate net percent increase in this client's stock allocation?

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pierceth3gio pierceth3gio · Answer 1 · 2018-04-02T02:57:18+02:00

alright so lets say for the sake of simplicity that the client's allocation was $100. If the financial adviser first decreased it by 25%, thats $25 off of the original 100 which leaves us with 75. She then increases it by 10% and 10% of 75 is 7.5. We add 7.5 to the 75 for a total of 82.5. The adviser then increases it by an additional 50% which in this case would be 41.25 (half of 82.5) and when we add that to our 82.5 we get a total of 123.75. If our original total before any changes was 100 and our total after all this changes is 123.75 then we have to find by how much (percentage wise) the total increased. 123.75 minues 100 is 23.75 which is how many dollars the allocation increased by. 23.75 is 23.75% or 24% of 100 (if you want to round it up).
Hope that made sense!!