Question

A man sold two articles at 375 each on the first article he gains 25%and on other he loses 25% how much does the gain or lose in the whole transaction.Also find the gain or loss percent

Answer 1

Answers





SP = Rs. 375

if gain = 25%
gain% = (SP-CP)/CP * 100
⇒ 25 = (375-CP)/CP * 100
⇒ 25/100 = (375-CP)/CP
⇒ 0.25CP = 375 - CP
⇒ 0.25CP + CP = 375
⇒ CP = 375/1.25 = Rs. 300

if loss = 25%
loss% = (CP-SP)/CP * 100
⇒ 25 = (CP-375)/CP * 100
⇒ 25/100 = (CP-375)/CP
⇒ 0.25CP = CP - 375
⇒ CP - 0.25 CP = 375
⇒ CP = 375/0.75 = Rs. 500

Total CP = 300+500 = 800
Total SP = 375+375 = 750

loss = 800- 750 = Rs. 50
loss% = loss/CP * 100 = 50/750 * 100 = 6.67%

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%