Correct Answer - Option 3 : 270
Given :
Amount of Lemon juice is 11.11% less than the soda in the bottle
Total volume of bottle is 510 ml
Concept used :
Amount of a component in a mixture = (Fraction of given component/Fraction of all components) × Total amount of mixture
Calculations :
Let the amount of soda in the bottle be 'x'
Amount of lemon = x - 11.11% of x (given)
⇒ x - (1/9) of x (11.11% = 1/9)
⇒ x - (x/9)
⇒ (8/9)x
Now, ratio of soda to lemon juice
Soda : lemon juice = x : (8/9)x
⇒ 9 : 8
Amount of soda in the bottle = {9/(8 + 9)} × 510
⇒ 270 ml
∴ The amount of soda in the bottle is 270 ml.