Question

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

Answer 1

Solutions :-

We have,
Selling price of two articles is Rs 375 each.

Find the Cost Price of one article at 25% gain :-

C.P = (S.P × 100)/(100 + gain)
= (375 × 100)/(100 + 25)
= 37500/125
= 300

Find the Cost price of other articles 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%

Answer 2

first article:
selling price = 375
gain = 25%

cost price = 100×selling price/100+gain%
= 100×375/100+25%
= 100×375/125
= 4×75
= 300

second article:
selling price = 375
loss = 25%

cost price = 100×selling price /100-loss%
= 100×375/100-25%
= 100×375/75
= 100×5
= 500

Total selling price of both articles = 375+375
= 750
Total cost price of both articles = 300+500
= 800

here cost price is greater than selling price so it is loss

loss = cost price - selling price
= 800 - 750
= 50
then,
loss % = loss×100/cost price
= 50×100/800
= 50/8
= 6.25%
loss % of whole translation = 6.25% Ans

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