# In a soft drink bottle, the amount of lemon juice is 11.11% less than the amount of soda in the bottle. Find the amount of soda in the bottle if the b

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In a soft drink bottle, the amount of lemon juice is 11.11% less than the amount of soda in the bottle. Find the amount of soda in the bottle if the bottle contains 510 ml of the total mixture.
1. 200
2. 240
3. 270
4. 300

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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.