Question

The value of an investment portfolio decreased by 8% in 2010.in 2011,its value increased by 5%of its value in 2010.given that the value of the portfolio at the end of 2011 was $61824,find its original value.

Answer 1

Answer:

Let in beginning the value of portfolio= $ x

In 2010, it's value decreased by 8%.

So, value of investment portfolio in the end of 2010

= x-8% of x

$=x-\frac{8x}{100}\\\\=\frac{92x}{100}$

Now, value of portfolio increased by 5% in 2011.

Value of portfolio at the end of 2011 is equal to

 $=\frac{92x}{100}+\frac{5}{100}\times\frac{92x}{100}\\\\=\frac{92x}{100}\times\frac{105}{100} \\\\ As, \frac{966x}{1000}=61824\\\\ x=\frac{61824 \times 1000}{966}\\\\ x=64,000$

So, original value of investment portfolio =$ 64,000

                         

Answer 2

Answer: 64000

Of investment portfolio