A fruit seller declares that he sells fruits at the cost price.

A fruit seller declares that he sells fruits at the cost price.
Posted on 24-03-2023

Ques - A fruit seller declares that he sells fruits at the cost price. However, he uses a weight of 450g instead of 500g. His percentage profit is :

(a) 10%

(b) 11(1/9)%

(c) 12%

(d) 12(2/9)%

Solution - 

Profit percentage = [(goods left) / (goods sold)] × 100

= [(50) / (450)] × 100

= 100/9

= 11(1/9)%

Therefore,

His profit is 11(1/9)%.

Alternatively,

Let, 

CP of 1 g = 1

CP of 450g = 450

A fruit seller declares that he sells fruits at the cost price.

SP of 1 g = 1

But,

He uses a weight of 450g instead of 500g.

So,

SP of 450 g = 500

Thus,

Profit = SP - CP

= 500 - 450

= 50

Profit % = (Profit / CP) × 100

= (50/450) × 100

= 100/9

= 11(1/9)%

Hence,

The correct answer is option (b) 11(1/9)%.

Thank You