Question

a man sold two articles at rupees 375 each on the first article he gains 25% and on the other he lost 25% how much does he gain or loss in the whole transaction also find the gain or loss percent in the whole transaction

Answer 1

Sold two articles
So, S. P. =375+375
=Rs.750

C.P. Of first=(100/100+gain)*S.P.
= (100/125)*375
=Rs.300

C. P. Of second=(100/100-loss)*S. P.
=(100/75)*375
=Rs. 500

Total C. P. =500+300=Rs.800

Loss=C.p.-S.p.
=800-750=Rs.50

Loss% =( loss*100/C.p.)
=50*100/800
=6.25%






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Answer 2

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%