Question 143

In 60 litres beverage, the ratio of syrup and water is 3 : 7. If the ratio of the syrup and water is to be made 2 : 5, then the amount of water to be further added is

Solution

The ratio of syrup and water is 3 : 7 in 60 litres beverage.

=> Quantity of syrup = $$\frac{3}{10}*60 = 18$$ litres

and quantity of water = $$\frac{7}{10}*60 = 42$$ litres

Let the amount of water to be added is $$x$$ litre

Now, $$\frac{18}{42 + x} = \frac{2}{5}$$

=> $$84 + 2x = 90$$

=> $$x = 6/2 = 3$$ litres

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