Question

a man sold two article at rs 375 each. on the first article, he gains 25% and on the other, he loses 25%. how much does he gains or lose in the whole transaction? also, find the gain or loss percent in the whole transaction?

Answer 1

s.p of the article given = rs375
gain % of the first article = 25%
cost price of first article = C.P1
C.P1 = 100/100+gain%× selling price (because it is the formula )
= 100/100+25× rs375
= rs300 = C.P1
loss% of the second article = 25%
C.P of the second article = C.P2
C.P2 = 100/100-loss%× selling price
= 100/100-25×rs375
C.P2 = rs500
total C.P = C.P1+C.P2
= 500+300
= rs800
total s.p = rs375×2
= rs750
therefore it is a loss,
total loss = totalC.P - totalS.P
= rs800-rs750
=rs 50
loss%= loss/C.P×100 ( formula)
= rs50/rs800×100
= 6.25%
I hope this will help you

Answer 2

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%