Question

If $\frac{5}{6}$ of 29% of x is 29, then x =

(a) 290
(b) 58
(c) 120
(d) 100

Answer 1

Let the required number be x.

$$\begin{gathered} \frac{5}{6}of29\%\mathrm{of}x=29 \\ \Rightarrow \frac{5}{6}\left(\frac{29}{100}\times x\right)=29 \\ \Rightarrow \frac{29x}{120}=29 \\ \Rightarrow 29x=29\times 120 \\ \Rightarrow x=\frac{29\times 120}{29} \\ \Rightarrow x=120 \end{gathered}$$

Hence, the correct option is (c).