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
[tex]Discounted\ price = x - \frac{12}{100} \times x\\\\Discounted\ price = x - 0.12x\\\\Discounted\ price = 0.88x[/tex]
It was discounted again by an additional 5%
Therefore,
Discounted price = 0.88x - 5 % of 0.88x
[tex]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[/tex]
Thus the percent of total discount is:
[tex]Percent = 100 \% - 0.836 \times 100 \%\\\\Percent = 100 \% - 83.6 \%\\\\Percent = 16.4 \%[/tex]
Thus the percent of total discount is 16.4 %
