<li>The original price of a book was b dollars. This price was discounted x percent during a sale. James used a coupon to buy the book for t percent off the sale price. Which of the following represents the price, in dollars, that James paid for the book?</li>
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<p>A. b [1 - (x/100)] [1 - (t/100)]
B.
C.
D.
E. b (x/100) (t/100)</p>
<p>B, C, D are unimportant. The answer is A.
Can anyone please explain this? Also why can’t this be E?</p>
<p>Thanks</p>
<p>I'm going to sleep in 5 min so I don't know if this is right (I didn't take out paper or anything) but:</p>
<p>for now leave out the t, if the book was discounted 20%, then b (x/100) = 0.20 * b which means that the adjusted price of the book would be 20% of the actual price. But the problem is asking for the price of the book when it is decreased by 20%. If you plug 20 into E then it would be an 80% discount. (Not taking into account the coupon)</p>
<p>Oooohhh, gotcha.</p>
<p>I'm assuming you're taking the test tomorrow?</p>
<p>Good luck! I'm sure you will do super well on the math section!</p>
<p>Dude, if you think about it, the answer has to be C!</p>
<p>Original price=b.
Discount=x/100.
Value of discount=bx/100.
New price after discount=b-bx/100=b(1-x/100).</p>
<p>Current price=b(1-x/100)
Further discount=t/100.
Using the same principle as above, new price=b(1-x/100)(1-t/100)</p>