Answer:
<em>37%
</em>
<em>46.8%
</em>
<em>65.8%
</em>
<em>59.68%
</em>
<em>41.8%
</em>
<em>52.5%</em>
Step-by-step explanation:
<u>Discount Rates
</u>
It's a way to express that a quantity will be reduced to some other by a fixed percentage. For example, taking 40% off a $50 price means:
* Operating 40*50/100=$20 This is the discount
* Subtracting from the original price: $50 - $20 = $30. This is the reduced quantity.
The trick is doing all of that procedure more efficiently to solve the question. At the end of the procedure we did this
50 - 40*50/100 = 50*(1 - 40/100) = 50*(1-0.4)= 50 * 0.6 = $30
This means we get the same result by only multipying by a factor which is one minus the discount percentage divided by 100.
Let's start with the first homework
Discount 25% and 16%. The first discount is made by multiplying by 0.75 and the second my multiplying by 0.84. This means that the total discounted value is
0.75*0.84 = 0.63. That is a single discount of 1-0.63 = 37%
Discount 30%, 20%, and 5%. The product is
0.70 * 0.80 * 0.95 = 0.532, a single discount of 1-0.532 = 46.8%
Discount 60%, 10%, and 5%
0.40 * 0.90 * 0.95 = 0.342, a single discount of 65.8%
Discount 40%, 20%, 12 1/2%, and 4%. Let's recall that 12 1/2% = 12.5%. The product is
0.60 * 0.80 * 0.875 * 0.96 = 0.4032. A single discount or 1-0.4032 = 59.68%
Discount 25%, 20%, and 3%
0.75 * 0.80 * 0.97 = 0.582. Single discount of 41.8%
Discount 331/3%, 25%, and 5%
0.66 * 0.75 * 0.95 = 0.475, single discount of 52.5%
