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questionFromString.label: SBI PO Prelims 2017

In a 40 liters mixture of acetic acid and sodium acetate are in the ratio 3:1, find the amount of sodium acetate solution to be added to make the ratio 2:3.

10 liters

20 liters

25 liters

30 liters

35 liters

solution.label:

chapterName.label: Ratio and Proportion

Quantity of acid = $(40 \times \frac{3}{4})$ litres = 30 litres, Sodium in it = 10 litres.

Let the required quantity of sodium to be added be x litres.

Then, $\frac{30}{10 + x}$ = $\frac{2}{3}$ ⇒ 20 + 2x = 90

⇒ 2x = 70

⇒ x = 35

$∴$ Sodium to be added = 35 litres.

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SBI PO Prelims 2017

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