Math Questions from Grubers

<p>pg 176 (10th editon)</p>

<li><p>A retailer buys a radio from the wholesaler for $75.00. He then marks up the price by 1/3 and sells it at a discount of 20%. What was his profit on the radio (to the nearest cent)?
A.$ 5.00
B.$ 6.67
C.$ 7.50
D.$ 10.00
E.$ 13.33</p></li>
<li><p>IF the radius of a circle is increased by 50%, what will be the percent increase n the circumferene of the circle?</p></li>
</ol>

<p>A. 25%
B. 50%
C. 100%
D. 150%
E. 225%</p>

<li>A store usuall sells a certain item at 40%profit. One week the store has a sale, during which the item is sold for 10% less than the usual price. During the sale, what is the percent profit of the sotre makes on each of these items.</li>
</ol>

<p>A. 4%
b. 14%
C. 26%
D. 30%
E. 36%</p>

<p>Thank you.</p>

<p>Can you give me a thorough explanation of these 3 questions. They give the answers and solutions on page 186 but I am still lost.</p>

<p>3) $75 + (1/3)<em>$75= $75 +$25= $100
$100 - (0.20)</em>$100= $100 - $20= $80
$80 -$75= $5
So, the answer is A.</p>

<p>5) C= circumference ; r=radius
C= 2<em>pi</em>r
new C= 2<em>pi</em>new r new r= 1.5<em>r
new C= 2</em>pi<em>(1.5</em>r)
new C= (2<em>pi</em>r)<em>1.5
new C= C</em>1.5 so the increase is 0.5, or 50%
So, the answer is B</p>

<p>7) x=price store bought item for
y=usual sale price= 1.4<em>x
n=new price= 0.9</em>y= 0.9<em>(1.4</em>x)= 1.26*x
So, new profit is 1.26-1= 26%
So, the answer is C</p>

<p>Hope that helps! =)</p>