Question

a man sold 2 articles at rupees 375 each. on the first article he gained 25 percent and on the other he has loss of 25 percent.how much does he gained or loose in the whole transaction ? also find out the profit or loss percent on the whole transaction

Answer 1

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:-

 Given that man gained 25% on 1st article i.e, 93.75 rupees. And also he loses 25% i,e. 93.75% on 2nd article.

    Now the total gain of the both transactions is 0 rupees as 25% gain and the same loss would be zero.

Therefore gain or loss is zero and gain or loss percent is 0%.

Thank you!