1.

If wages of X and Y are in the ratio of \(3\frac{1}{2}:3\frac{1}{4}\), how much percent X’s wages is greater than that of Y?1). \(10\frac{1}{{13}}\% \)2). \(8\frac{1}{{11}}\%\)3). \(7\frac{9}{{13}}\%\)4). \(6\frac{{12}}{{13}}\%\)

Answer»

Wages of X and Y are in the ratio of

Let the wages of X and Y be 7a/2 and 13A/4 respectively.

X wage is greater than Y’s wage by a amount $(= \frac{{7a}}{2} - \frac{{13a}}{4} = \frac{a}{4})$

% by which X’s wage is greater than Y’s wage $(= \frac{{\frac{a}{4}}}{{\frac{{13a}}{4}}} \TIMES 100\%= \frac{{100}}{{13}}\%= 7\frac{9}{{13}}\% )$


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