Question 186519
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Let {{{x}}}= Original Price
1st mark down= 20% off:
{{{x-0.20x=0.80x}}}
2nd mark down=25% off the 1st sale price of {{{0.80x}}}:
{{{0.80x-0.25(0.80x)=0.80x-0.20x=0.60x}}}
3rd mark down=30% off the 2nd sale price of {{{0.60x}}}:
{{{0.60x-0.30(0.60x)=0.60x-0.18x=0.42x}}}
.
We equate the final mark down to the purchase price of $63.00:
{{{0.42x=63}}}----->{{{cross(0.42)x/cross(0.42)=cross(63)150/cross(0.42)}}}
{{{highlight(x=150)}}}, ORIGINAL PRICE
.
Let's Check,
1st mark down: {{{150-0.20(150)=150-30=120}}}
2nd mark down: {{{120-0.25(120)=120-30=90}}}
3rd mark down: {{{90-0.30(90)=90-27}}}=$63.00 Purchase Price
Thank you,
Jojo</pre>