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Question

A shopkeeper sold a TV set for '17940‘ with a discount of ’8%‘ and earned a profit of ’19.6%'. What would have been the percentage of profit earned if no discount was offered?


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Solution

Step 1: Find the Marked Price(MP) of TV:

Let the Marked Price(MP) of the TV set be x

Discount offered=8%

Since, The shopkeeper is offering a discount of '8%', the Selling price(SP) of the TV =92%ofMP

SP of TV=92%ofx

=92x100

And the SP of TV is given to be 17940

92x100=17940

x=17940×10092=19500

Step 2: Find the Cost Price(CP) of TV:

CostPrice(CP)=100100+Profit%×SP

It is given that when the shopkeeper sells the TV for'17940', he gains a profit of 19.6%

CP of TV=100100+19.6×17940

=100119.6×17940

=15000

Step 3: Find the Profit:

It is given that no discount has been offered, So the Selling Price would be equal to the Marked Price(MP), i.e, 19500

Profit=SellingPrice-CostPrice=19500-4500=4500

Step 4: Find the Profit Percentage:

Profit%=ProfitCP×100=450015000×100=30%

Therefore, the Profit % is 30%


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