Question

A man sold two articles at Rs.375 each. On the first article,he gained 25% and on the he lost 25%. How much does he gain or lose in the whole transaction. Find the gain or lose per cent in the whole transaction?

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%