Question 9

In 250 litres mixture of soda and water the ratio of amount of soda to that of water is 7 : 18. In order to make this ratio 2 : 3, how many more litres of soda should be added?

Solution

Amount of soda in 250 litres mixture = $$\frac{7}{(7+18)}\times250=70$$ litres

=> Amount of water = $$250-70=180$$ litres

Let $$x$$ litres of soda is added.

=> $$\frac{70+x}{180}=\frac{2}{3}$$

=> $$210+3x=360$$

=> $$3x=360-210=150$$

=> $$x=\frac{150}{3}=50$$

$$\therefore$$ 50 litres of soda should be added.

=> Ans - (D)

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