Question

*At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total discount? if you answer i'll give you a digital cookie. :⊃

Answer 1

The percent of total discount is 16.4 %

Solution:

Given that,

At first a price was decreased by 12%, then it was discounted again by an additional 5 %

To find: Percent of total discount

Let "x" be the original price

At first a price was decreased by 12%

Therefore,

Discounted price = original price - 12 % of original price

Discounted price = x - 12 % of x

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

It was discounted again by an additional 5%

Therefore,

Discounted price = 0.88x - 5 % of 0.88x

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

Thus the percent of total discount is:

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

Thus the percent of total discount is 16.4 %