Question

If two-third of three-fourth of a number added to three-fourth of the fourth-fifth of that number is $x$ times the number, the value of $x$ is

• A. $\frac{11}{10}$
• B. $1\frac{1}{11}$
• C. $\frac{10}{11}$
• D. $\frac{9}{11}$

Answer 1

The correct option is A $\frac{11}{10}$

Let that number be $y$

$\frac{2}{3}\times \frac{3}{4}y+\frac{3}{4}\times \frac{4}{5}y=x\times y\frac{1}{2}y+\frac{3}{5}y=x\times y\frac{6+5}{10}=x\frac{11}{10}=x$

So correct answer will be option A.