Question

milk and mango juice are mixed in the ratio 2:3 naturally there is 90% water in the milk and 80% water in mango juice now 10 litre of water is poured into mixture and percent of water become 260/3 % find initial quantity of water in milk​

Answer 1

Answer:

18 litre

Step-by-step explanation:

Let say Milk =  2x  litre

then Mango juice = 3x  litre

Water in Milk = (90/100)2x = 1.8x litre

Water in Mango juice = (80/100)3x = 2.4x litre

Total Water = 1.8x + 2.4x = 4.2x litre

Mixture = 2x + 3x = 5x litre

now 10 litre of water is poured into mixture

=> Water = 4.2x + 10  litre

& Mixture = 5x + 10 litre

Water % = 100 * (4.2x + 10)/(5x + 10)   = 260/3

=> 2 (4.2x + 10) /(x + 2) = 26/3

=> (4.2x + 10) /(x + 2) = 13/3

=> 12.6x + 30 = 13x + 26

=> 0.4x = 4

=> x = 10

initial quantity of water in milk​ = 1.8x = 18 litre