A dishonest milkman buys milk at Rs. 20 per litre and adds 1/3 of water to it and sells the mixture at Rs. 24 per litre. What is his gain?

Let the milkman buy x litre of milk at 20 per ltr

⇒ Cost Price = 20x

⇒ Adds 1/3 of water to it so quantity = x + (x/3) = 4x/3

⇒ Selling Price = 24 × (4x/3) = (96x/3)

⇒ Gain % = (SP - CP) × (100/CP)

⇒ Gain % = {(96x/3) - 20x} × (100/20x)

⇒ Gain % = (3600x)/60x

∴ Gain % = 60%

let the milk is 3 and water is 1/3

so the mixture will be 3+1 = 4

cp ----------------------------------sp

20-----------------------------------24

* *

3------------------------------------4

(cost price is 3 which is (SP is 4 because the customer will pay for water also 3+1)

only for milk)

60-------------------------------------96



profit 96-60= 36

36/60 *100 = 60% ANS..