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A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price...

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by BTGmoderatorLU » Wed Dec 16, 2020 6:02 am

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C

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Source: GMAT Prep

A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?

A. 81
B. 100
C. 120
D. 135
E. 160

The OA is C
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Re: A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail pric

by deloitte247 » Thu Dec 17, 2020 5:02 am
$$T\arg et\ question=>What\ is\ the\ retail\ price\ of\ the\ machine?$$
$$Wholesales\ price=\$90$$
$$Let\ retail\ price\ =\ x$$
$$Retailer\ sold\ the\ machine\ after\ a\ discount\ of\ 10\%$$
$$=>\ 10\%\ of\ x\ =\ \frac{10}{100}\cdot x\ =\ 0.1x$$
$$New\ retail\ price\ =\ x\ -\ 0.1x\ =\ 0.9x$$
$$New\ retail\ price\ =\ 20\%\ profit\ on\ wholesale\ price$$
$$20\%\ profit\ on\ wholesale\ price\ =\left(20\%\ of\ $90\right)\ +90$$
$$=\left(\frac{20}{100}\cdot90\right)+90$$
$$=18+90=108$$
$$\frac{0.9x}{0.9}=\frac{108}{0.9}$$
$$x=120$$


$$Answer\ =\ C$$
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