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A beaker contains acid and water in the ratio 1 ∶ x. When 30 litres of the mixture and 5 litres of water are mixed, the ratio of acid and water becomes 2 ∶ 5. What is the value of x?1. 42. 23. 34. 1 |
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Answer» Correct Answer - Option 2 : 2 Given: A beaker contains acid and water in the ratio 1 ∶ x. When 30 litres of the mixture and 5 litres of water are mixed, the ratio of acid and water becomes 2 ∶ 5. Calculations: In 30 litres of solution Acid = (1 × 30)/(1 + x) water = (x × 30)/(1 + x) according to question \(\frac{\frac{30}{1\ +\ x}}{\frac{30x}{1\ +\ x}\ +\ 5}\ =\ \frac{2}{5}\) ⇒ 30/(35x + 5) = 2/5 ⇒ 70x + 10 = 150 ⇒ x = 2 ∴ The value of x is 2. |
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