Question #185734

A merchant purchased a line of handbags for R172,00 each. She wants to offer a 14% discount off the listed

selling price and still make a 24% profit. The price that she should mark on the label is


1
Expert's answer
2021-04-28T04:34:30-0400

Cost of the bags is C=R172,000She gained a profit of 24%Profit=172,00024100=172024=RCost \ of \ the \ bags \ is \ C=R172,000\\ She \ gained \ a \ profit \ of \ 24\%\Rightarrow Profit =172,000*\frac{24}{100}=1720*24=R 41,280Sale price=Cost+Profit=R172,000+R41,280=R213,280Sale price=R213,280Discount given on sale price is14%Let x be the tag price.Since the discount 14% is given on x,the sale price=(10014)100x86100x=213,280x=(213280100)86=248,000The price tag x=R248,000Sale \ price = Cost +Profit\\ =R172,000+R41,280\\ =R213,280\\ Sale \ price = R 213,280\\ Discount \ given \ on \ sale \ price \ is 14\%\\ Let \ 'x' \ be \ the \ tag \ price .\\ Since \ the \ discount \ 14\% \ is \ given \ on \ x,\\ the \ sale \ price =\frac{(100-14)}{100}*x\\ \Rightarrow \frac{86}{100}*x=213,280\\ \Rightarrow x=\frac{(213280*100)}{86}=248,000\\ \therefore The \ price\ tag \ x=R 248,000


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