The price of a professional sound system was reduced by 15%. what is the new price, if the original price was d dollars?

The new price of the professional sound system is 0.85 d dollars.

Step-by-step explanation:

If the original price was d dollars.

Then, the price of a professional sound system was reduced by 15%.

then, we solve the problem as follows:

New price=(original price)-15% of (original price)

==

Therefore, the new price of the sound system is, dollars or 0.85 d dollars.

The original price of professional sound system is .

Further explanation:

Given:

The original price of sound system is .

The price of professional sound system is reduced by .

The objective is to find the new price of that professional sound system.

Percentage:

Percentage can be written in the ratio that is expressed as a fraction of .

Now, convert into decimals as follows:

Let the original price of the sound system be dollars. Now, its price was decreased by .

The amount by which the price is reduced is calculated as follows:

This implies that the price is reduced by .

Then its new price is calculated as follows:

Given that the original price of the sound system was dollars.

Now, its price was reduced by , means the price of sound system was reduced by of its original price.

The new price is calculated if the reduced price is subtracted from the original price as shown below:

Now convert into fractions as follows:

Therefore, the new price of professional sound system is .

Learn more:

1. A problem on numbers

2. A problem on scientific notation of numbers

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Percentage

Keywords: Price, professional, sound system, reduced, 15%, new, price, original price, d, dollars, percentage, decreased, decimals.

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