A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre

A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre
Posted on 16-03-2023

Ques - A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water every 6 litre of pure milk. What is the profit percentage?

(a) 116%

(b) 166.66%

(c) 60%

(d) 100%

Solution -

C.P. of milk = Rs. x

S.P. of Milk = Rs. 2x

He mixes 2 litres water every 6 litre of pure milk.

C.P. of 6 litres of milk = Rs. 6x

C.P. of 2 litres of water = Rs. 0

C.P. of total 8 litres of mixture = Rs. 6x + Rs. 0

= Rs. 6x

S.P. of total 8 litres of mixture = 8 × Rs. 2x

= Rs. 16x

Profit = S.P. - C.P. 

= Rs. 16x - Rs. 6x

= Rs. 10x

Profit percentage = [(S.P. - C.P.) / C.P.] × 100

= (10x/6x) × 100

= 1000x/6x

= 16.66%

Therefore,

The profit percentage is 16.66%.

Hence,

The correct answer is option (b) 166.66%.

Thank You