Question

A person sold two articles at Rs 375 each on the first article he gained 25% and on the other he lost 25 %.How much does he gain or lose in the whole transaction? Also find the gain or loss percent in whole transaction?

Answer 1

there is no profit niether a loss when considering as a whole however when one the first article when he gained a 93.75 rupees gain he lost the same on the second one .

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%