Wednesday, May 29, 2013

Solve Help Percentages

Introduction – Solve help percentages:

In mathematics, a percentage is a way of expressing a number as a fraction of 100 (per cent meaning "per hundred" in French). It is often denoted using the percent sign, "%", or the abbreviation "pct". For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Let us see solve help percentages.

- Source from Wikipedia

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Example problems – Solve help percentages:


Problem 1:

How much is 9% of 1400 dollars?

Solution:

Since 1% is `1 / 100` * 1400 = 14 dollars, then 9% is 9 × 14 dollars = 126 dollars.

Problem 2:

A ice burg losses its weight from 140  to 125. What was its percentage weight loss?

Solution:

First, we have to find the absolute weight loss.

140 – 125 = 15 pounds

15 = (x) (140)

15 ÷ 140 = x

15 ÷ 140 = 0.10

Now we have to convert the decimal value as percent form.

To convert the decimal to percent form multiplies it by 100. That is 0.10*100 = 10.

Hence the ice burg losses its weight by 10%.

Problem 3:

Sham borrowed 950 dollars at 9% simple interest, for 3 years. How much did he have to pay back (principal + interest) after the 2 year period?

Solution:

The interest to pay is given by

Multiply the original amount by 9% and interest periods

Interest = 950 * `9 / 100` * 3 = 256.5 dollars

Total to pay back

950 + 256.5 = 1206.5 dollars.

After two years Sham has to pay 1206.5 dollars.

Problem 4:

A sales man sold his vehicle at 24% profit. Its original cost is 300 dollars. Find out the selling price.

Solution:

The gain is 24% of the 300 dollars cost, so the gain is:

`24 / 100 ` = (0.24) (300) = 72

Add the selling price percentage with original price

300 + 72 = 372

The vehicle sold at 372 dollars

Problem 5:

A person buys a laptop in a shop and paid 450 dollars for laptop and 15% for sales tax and 8% for accessories. How much did he pay for his laptop?

Solution:

He paid for laptop, sales tax and accessories, hence

Sales tax   = 15% = `15 / 100` * 450 = 67.5

Accessories           = 8% = `8 / 100` * 450 = 36

Total paid = 450 + 67.5 + 36 = 553.5 dollars.

Totally he paid 553.5 dollars for his laptop.

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Practice problems – Solve help percentages:


Solve help percentage practice Problem 1:

What is 68% of 840?

Answer:

= 571.2

Solve help percentage practice Problem 2:

The original price of a pen was 20 dollars. Now the price was decreased to 15 dollars. What is the percent decrease of the price of this pen?

Answer:

= 25%

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