Question

By selling 55 articles, a shopkeeper makes a profit equal to the cost of 11 articles. Find his gain percent.​

Answer 1

AnswEr :

20% Gain

Explanation :

By Selling 55 Articles, a shopkeeper makes a Profit Equal to the Cost of 11 Articles.

• Profit on 55 Articles = CP of 11 Articles

⇒ (SP × 55 - CP × 55) = CP × 11

• Dividing Each term by 11

⇒ (5 × SP - 5 × CP) = CP

⇒ 5 SP = CP + 5 CP

⇒ 5 SP = 6 CP

⇒ SP = 6CP / 5

_________________________________

⇒ Gain = SP - CP

⇒ Gain = 6CP / 5 - CP

⇒ Gain = (6CP - 5CP) / 5

⇒ Gain = CP / 5

⇒ Gain% = Gain / CP × 100

⇒ Gain% = (CP/5) / CP × 100

⇒ Gain% = 1 / 5 × 100

⇒ Gain% = 20%

჻ Gain% is 20% on selling the Articles.