If a shopkeeper cheats up to 12% in buying and selling fruits, using less weight, then his total profit percentage is:

A. 25.25

B. 27.27

C. 25.75

D. 25.5   

Given:

Cheating percent while buying and selling = 12%

Formula Used:

Profit % = [(S.P - C.P)/C.P × 100]

Calculation:

Shopkeeper buy 112 gm goods instead of 100 gm by cheating

And he sells 88 gm instead of 100 gm

According to the question

SP/CP = (112 × 100)/(100 × 88)

⇒ 14/11

Profit = SP - CP

⇒ 14 - 11 = 3

Profit Percentage = (3/11) × 100%

⇒ 27.27%

∴ The shopkeeper earned 27.27% profit.  

Shopkeeper cheats 12% in weight while buying as well as selling

Cost price for shopkeeper = [100 × (100 - 12)]/100

⇒ 88

Selling price for shopkeeper = [100 × (100 + 12)]/100

⇒ 112

Profit % = [(S.P - C.P)/C.P] × 100% 

⇒ [(112 - 88)/88] × 100%

⇒ (24/88) × 100%

⇒ 27.27%

∴ The shopkeeper earned 27.27% profit.