Question

A milk merchant buys 10 casks of milk. If he sells his milk at Rs. 5 a liter, he loses Rs. 200;
if he sells it at Rs. 6 a liter, he would gain Rs.150 on the whole. Find the number of liters in
a cask?
A. 35
B.40
C.30
D.25​

Answer 1

Step-by-step explanation:

let he buys x litre milk at a rate of Rs y a litre

so amount he has spend to buy = x*y      ( * means multiplication )

if he sells at Rs 5 a litre then he will add a total of 5*x rupees

but he is in loss of Rs 200 , so x*y - 5*x = 200  ( equation 1st )

and if he sells at Rs 6 a litre then he will add a total of 6*x rupees

and he is in profit of Rs 150 , so 6*x - x*y = 150 ( equation 2nd )

adding these 2 equation we get x = 350

so he buys a total of 350 litre milk

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Answer 2

Answer:

Step-by-step explanation:

let he buys x litre milk at a rate of Rs y a litre

so amount he has spend to buy = x*y      ( * means multiplication )

if he sells at Rs 5 a litre then he will add a total of 5*x rupees

but he is in loss of Rs 200 , so x*y - 5*x = 200  ( equation 1st )

and if he sells at Rs 6 a litre then he will add a total of 6*x rupees

and he is in profit of Rs 150 , so 6*x - x*y = 150 ( equation 2nd )

adding these 2 equation we get x = 350

so he buys a total of 350 litre milk

As he has 10 casks so 350/10= 35 litres

Option A is your answer

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