Two vessels A and B contain alcohol and w… | Answer

Subject

Quantitative Aptitude

Topic

Miscellaneous

Two vessels A and B contain alcohol and water in the ratio 7 : 5 and 17 : 7 respectively. In what ratio should the mixtures from two vessels A and B be mixed to get a new mixture containing alcohol and water in the ratio 5 : 3?
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ক)

3 : 2

খ)

2 : 1

গ)

1 : 2

ঘ)

3 : 4

Explanation

When we form a new mixture by adding two mixtures in each other, then we will solve the question by considering the part of only one thing in the whole mixture – First method: Alcohol in vessel

A = \frac{7}{{7 + 5}} = \frac{7}{{12}}

Alcohol in vessel

B = \frac{{17}}{{17 + 7}} = \frac{{17}}{{24}}

Required alcohol in the new mixture

= \frac{5}{{5 + 3}} = \frac{5}{8}

Now, required of the two mixtures would be –

\Rightarrow \frac{{first\ mixture}}{{Second\ mixture}} = \frac{{\frac{5}{8} \sim \frac{{17}}{{24}}}}{{\frac{5}{8} \sim \frac{{7}}{{12}}}} = \frac{{\frac{1}{{12}}}}{{\frac{1}{{24}}}} = \frac{2}{1}

Hence, required ratio of the two mixtures would be 2:1 Second method: Water in vessel

A = \frac{5}{{7 + 5}} = \frac{5}{{12}}

Water in vessel

B = \frac{7}{{17 + 7}} = \frac{7}{{24}}

Required water in new mixture

= \frac{3}{{5 + 3}} = \frac{3}{8}

Now required ratio of the two mixtures would be

\Rightarrow \frac{{first\ mixture}}{{Second\ mixture}} = \frac{{\frac{7}{{24}} \sim \frac{3}{8}}}{{\frac{5}{{12}} \sim \frac{3}{8}}} = \frac{{\frac{1}{{12}}}}{{\frac{1}{{24}}}} = 2:1

Hence required in the new mixture would be 2:1

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Two vessels A and B contain alcohol and water in the ratio 7 : 5 and 17 : 7 respectively. In what ratio should the mixtures from two vessels A and B be mixed to get a new mixture containing alcohol and water in the ratio 5 : 3?Reading

Two vessels A and B contain alcohol and water in the ratio 7 : 5 and 17 : 7 respectively. In what ratio should the mixtures from two vessels A and B be mixed to get a new mixture containing alcohol and water in the ratio 5 : 3?

Explanation

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Two vessels A and B contain alcohol and water in the ratio 7 : 5 and 17 : 7 respectively. In what ratio should the mixtures from two vessels A and B be mixed to get a new mixture containing alcohol and water in the ratio 5 : 3?
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