How to solve a one variable equation

Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares

pashok25 [27]

Answer:

The correct option is c) a loss of $8.

Step-by-step explanation:

Consider the provided information.

If the selling price of two item is same and one item sold at a profit of x % and other at a loss of x % in that case total sale result loss:

To calculate the loss use the formula: $Loss\ \%=(\frac{x}{10})^2\ \%$

It is given that he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, where the selling price is $96 each.

That means the total sale result will be a loss.

Now use the above formula by substitute x=20.

$Loss\ \%=(\frac{20}{10})^2\ \%\\\\Loss\ \%=4\ \%$

It is given that the sales price is $96 of each that means total sales price is:

$96+$96=$192

Let the cost price of the shares were x.

According to question: x-4% of x = 192

$x-\frac{4}{100}\times x = 192\\\\x-0.04x = 192\\\\0.96x = 192\\x = 200$

Hence, the cost price of the shares was 200.

Loss = Cost price -Sales price

Loss = $200 - $192

Loss = $8

Hence, the correct option is c) a loss of $8.

8 0

3 years ago

David is going to buy a cooker.

valina [46]

Answer:

David should pay £48 as deposit.

Step-by-step explanation:

Price of cooker = £320

Deposit price of Cooker = 15%

We need to find How much money does David pay as a deposit?

For finding deposit money we will find:

15% of 320

Solving:

$15\% \ of \ 320\\=15\% \times 320\\=\frac{15}{100}\times 320 \\=48$

So, David should pay £48 as deposit.

5 0

2 years ago

Jack deposited $47,323.15 in an account earning 5% interest compounded annually.

Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: $\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}$

A is final amount
P is principle amount
r is rate
n is compounded rate
t is time

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

[Compounded Interest Rate Formula] Substitute in variables:
$\displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}$
Evaluate:
$\displaystyle A = \boxed{54782.5}$