Question

A milk vendor who sells milk at Rs. 10.50 per half a litre, find a milk can lying by the roadside unclaimed and

unattended. He picks up the milk can and tests the milk. He finds it fresh and of the same quality as the milk he

already has with him. He initially has 52 liters of milk, while the can that he finds has 13 litres. He mixes the two

quantities and sells at a reduced price but maintains his profit percentage. By what proportion does he decrease the

price per litre?​

Answer 1

Answer:

Decreses the price by Rs 4.2 per litre.

Proportion = 4.2/21 = 1:5

Step-by-step explanation:

He sells milk at the rate of Rs 10.50 per half litre.

For Rs 10.50 he sells half( or 1/2 ) of 1 litre.

It means for every litre[ not half of litre ] price of milk is Rs 2*10.50 or Rs 21.

Initially he had 52 litre of milk with which he could gain Rs 52 * 21 = Rs 1092.

But later on he gets more 13 litre of milk. Now total litre = 52 + 13 l = 65 litre.

Let the price of milk be decreased by Rs a per litre. So new price is Rs 21 - a per litre.

Initial profit = profit after adding more milk

= > 1092 = 65( 21 - a )

= > 1092/65 = 21 - a

= > 16.8 = 21 - a

= > a = 21 - 16.8

= > a = 4.2

Hence he decreses the price by Rs 4.2 per litre.

Answer 2

$\bigstar$ Question :

A milk vendor who sells milk at Rs. 10.50 per half a litre, find a milk can lying by the roadside unclaimed and unattended. He picks up the milk can and tests the milk. He finds it fresh and of the same quality as the milk he  already has with him. He initially has 52 liters of milk, while the can that he finds has 13 litres. He mixes the two  quantities and sells at a reduced price but maintains his profit percentage. By what proportion does he decrease the  price per litre?​

$\bigstar$ Answer :

• A milk vendor  sells milk at Rs. 10.50 per half a litre
• So , Litre milk cost = 2 * 10.5 = Rs. 21

Cost of 52 litres = 52*21 = 1092

Now he finds 13 more litres and adds that to this 52 litres and sells with reduced cost , But maintains his profit percentage.

Let the  price he sells be ( 21 - x ).

$\implies 1092=(52+13)(21-x)\\\\\implies 1092=65(21-x)\\\\\implies 16.8=21-x\\\\\implies \bold{\bf{\green{x = Rs.\;4.2}}}$

• So , the reduced price per litre  is Rs. 4.2