SOLUTION: A local clothing boutique is selling a suit for $99. Because of changing styles, the first markdown was 8% and the second markdown was 25%. The suit still didn't sell, so a final m

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A local clothing boutique is selling a suit for $99. Because of changing styles, the first markdown was 8% and the second markdown was 25%. The suit still didn't sell, so a final m      Log On

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Question 1129597: A local clothing boutique is selling a suit for $99. Because of changing styles, the first markdown was 8% and the second markdown was 25%. The suit still didn't sell, so a final markdown of 10% was taken.
What's the current sale price?
A. $86.31
B. $61.48
C. $61.84
D. $68.31
Need steps please

Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if selling a suit for $99 and markdown was 8% =0.08
new price was $99-0.08%2A99=99-7.92=91.08
and, if the second markdown was 25%=0.25
ew price was $91.08-0.25%2A91.08=91.08-22.77=68.31

if a final markdown of 10%=0.10 was taken,
$68.31-0.10%2A68.31=68.31-6.831=61.479 round it to two decimal places:
and answer is:
B. $61.48

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Finding the final sales price by finding the amount of each discount and subtracting three times is VERY inefficient for a problem like this.

When the price is marked down 8%, the original price gets multiplied by 92%, or 0.92. Similarly, markdowns of 25% and then 10% multiply the price by 0.75 and 0.90.

So after all three markdowns the final price is

99%280.92%29%280.75%29%280.90%29+=+61.479 or $61.48, answer B.