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BARSIC [14]
3 years ago
6

*At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total disco

unt? if you answer i'll give you a digital cookie. :⊃
Mathematics
1 answer:
ratelena [41]3 years ago
5 0

The percent of total discount is 16.4 %

<em><u>Solution:</u></em>

Given that,

<em><u>At first a price was decreased by 12%, then it was discounted again by an additional 5 %</u></em>

To find: Percent of total discount

Let "x" be the original price

<em><u>At first a price was decreased by 12%</u></em>

Therefore,

Discounted price = original price - 12 % of original price

Discounted price = x - 12 % of x

Discounted\ price = x - \frac{12}{100} \times x\\\\Discounted\ price = x - 0.12x\\\\Discounted\ price = 0.88x

<em><u>It was discounted again by an additional 5%</u></em>

Therefore,

Discounted price = 0.88x - 5 % of 0.88x

Discounted\ price = 0.88x - \frac{5}{100} \times 0.88x\\\\Discounted\ price = 0.88x - 0.05 \times 0.88x\\\\Discounted\ price = 0.88x - 0.044x\\\\Discounted\ price = 0.836

<em><u>Thus the percent of total discount is:</u></em>

Percent = 100 \% - 0.836 \times 100 \%\\\\Percent = 100 \% - 83.6 \%\\\\Percent = 16.4 \%

Thus the percent of total discount is 16.4 %

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The image of the answer is attached below.

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