Question

a shopkeeper mixes 18 litres of apple juice with 80 litres of orange juice, after this he sells half of the mixture. now in order to have more mixed fruit juice to sell he added some more quantity of apple juice and orange juice to the vessel in the ratio 2:1. find out what is the quantity of the orange juice added if the ratio of orange juice and apple juice in the vessel is 4:1​

Answer 1

Given :-

• Initial Quantity of Apple juice = 18 litre.
• Initial Quantity of Orange juice = 80 litre.
• He sells half of the mixture.
• Added quantity of apple juice and orange juice to the vessel in the ratio 2:1.
• New ratio of orange juice and apple juice in the vessel is 4:1 .

Solution :-

from Given data ,

→ initial Apple juice : initial orange juice = 18 : 80 = 9 : 40 .

Now, shopkeeper sells half the mixture.

So,

→ He sells = (18 + 80)/2 = 49 litre .

Than,

→ Left Mixture in vessel = 49 litre.

So,

→ in left 49 litre , apple = 9 litre and orange = 40 litre . { 9 : 40 } .

Now, let us assume that shopkeeper added 2x litre of apple juice and x litre of orange juice .

Given that, now ratio of orange juice and apple juice in the vessel is 4:1 .

A/q,

→ (9 + 2x) / (40 + x) = 1/4

→ 4(9 + 2x) = 40 + x

→ 36 + 8x = 40 + x

→ 8x - x = 40 - 36

→ 7x = 4

→ x = (4/7) litre . (Ans.)

Hence, Quantity of orange juice added is (4/7) litre.