A man sold 2 articels at rupees wit each.on the first article he gained 25%and in the other he lost 25%. How much does he gain or lose in the whole transaction ?also find the gain or loss per cent in the whole transaction.
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The formula for such problem is (-)[x^2/100]
(-) is for loss.
Bcos in this type of transactions there are always loses.
Hope it will help you.
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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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