SOLUTION: Suppose that you have $11,000 your investment decreases 60% and then increases by 70%. your advisor tells you that you had a 10% increase on your 11000 investment is he right or wr

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Suppose that you have $11,000 your investment decreases 60% and then increases by 70%. your advisor tells you that you had a 10% increase on your 11000 investment is he right or wr      Log On


   



Question 1063847: Suppose that you have $11,000 your investment decreases 60% and then increases by 70%. your advisor tells you that you had a 10% increase on your 11000 investment is he right or wrong and whats the correct gain or loss.
Found 3 solutions by josmiceli, jorel555, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
60% decrease:
+11000+-+.6%2A11000+=+.4%2A11000+
+.4%2A11000+=+4400+
--------------------------
70% increase:
+1.7%2A4400+=+7480+
----------------------
+%28++7480+%2F+11000+%29%2A100+=+68+
+100+-+68+=+32+
This is a 32% decrease
==========================
check:
Suppose you start with +x+ dollars
+x%2A%28+1+-+.6+%29+=+.4x+
and
+.4x%2A%28+1+%2B+.7+%29+=+.68x+
You end up with 68% of x. That is
a 32% decrease in x
OK

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
First off, you have $11000 invested. It first decreases by 60%, leaving you with 40% of the original investment, or 11000 x .4=$4400. After it increases by 70%, you have 1.7 times your money, or $7480. 11000-7480/11000=32% loss on your original investment. ☺☺☺☺

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose that you have $11,000 your investment decreases 60% and then increases by 70%. your advisor tells you that you had a 10% increase on your 11000 investment is he right or wrong and whats the correct gain or loss.
A SPECIFIC amount here DOESN'T matter. In other words, the $11,000 is irrelevant.

After a 60% reduction, itw's valued at 40% (.4) of its original value
After a 70% increase, itw's valued at 68%, or .68 (.4 * 1.7) of its original value
At 68% of its original value, it has lost 32%, or .32 (1 - 68%, or 1 - .68) of its original value.
Answer: The advisor is definitely wrong and should no longer be your advisor, in my opinion.