Question

A man sold two articles at ₹375 each on the first article he gained 25 percent and on the otherhe lost 25 percent how much does he gain or lose in the whole transaction also find the he gain or loss. percent in the whole transaction

Answer 1

cp1 = 375/125 × 100 = 300
cp 2 = 375/75 × 100= 500
total cp = 300 + 500 = 800
total sp = 375 × 2 = 750
so loss = 800 - 750 = 50
loss % = 50/800 × 100 = 6.25%

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%