a man sold two articles at 375 each. on the first article he gains 25 percentage and on other hand he loss 25 percentage. how much dose he gain or loss in whole transaction? also find the gain or loss in whole transaction
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a man sold two articles at 375 each. on the first article he gains 25 percentage and on other hand he loss 25 percentage. how much dose he gain or loss in whole transaction? also find the gain or loss in whole transaction
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In this type of questions there is always loss.
Let the CP of 1 be 100
So,profit is 25 then SP will 125 we want to know CP
Therefore,100/125× 375=300
Similarly in 2 loss is 25 so,CP is 75
100/75×375=500
Total CP will 500+300=800
Total SP will 375×2=750
There is loss of 50
Loss%=50/800×100=6.25%
Let the CP of 1 be 100
So,profit is 25 then SP will 125 we want to know CP
Therefore,100/125× 375=300
Similarly in 2 loss is 25 so,CP is 75
100/75×375=500
Total CP will 500+300=800
Total SP will 375×2=750
There is loss of 50
Loss%=50/800×100=6.25%
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Solution :-
We have,
Selling price of two articles is Rs 375 each.
Cost Price of one article at 25% gain :
C.P = (S.P × 100)/(100 + gain)
= (375 × 100)/(100 + 25)
= 37500/125
= 300
Cost price of other article at 25% loss :
C.P = (S.P × 100)/(100 - loss)
= (375 × 100)/(100 - 25)
= 37500/75
= 500
Now,
Cost Price of two articles = Rs (300 + 500) = Rs 800
Selling price of two articles = Rs (375 + 375) = Rs 750
Cost Price > Selling price
Loss = C.P - S.P
= Rs (800 - 750)
= Rs 50
Loss % = (loss × 100)/C.P %
= (50 × 100)/800 %
= 5000/800 %
= 6.25%
Answer : The loss percent in the whole transaction = 6.25%
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