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A shopkeeper on selling 630 pens makes a profit equal to the selling price of 90 pens, find the profit percentage?
Hi
Let C.P be x and S.P be y
Now we know profit = S.P-C.P
And it says profit on selling 630 pens
so profit will be 630(y-x) (1)
Now this profit equals selling price of 90 pens so we can say
630(y-x) =90y
we get 540y =630x
or y/x = 7/6
Therefore profit percentage = (7-6)/6 *100 =100/6 =16.67%
so, suppose x is the sp of pens. Therefore, CP= SP- Profit. SP= 630X. Profit = 90X. therefore, CP= 540X. Profit= 90/540*100= 16.67%
Consider SP of one pen to be x
As per the question, when he sells 630 pens, he makes a profit equivalent to the SP of 90 pens.
Profit = SP - CP
90x (SP of 90 pen) = 630x (SP of 630 pens) - CP
CP = 540x
Profit % = 90x/540x *100 = 16.67%
This is the approach I used, kindly share if you know some other way to solve it.
