Question

Question no. 25

25. ​If Rs 5100 be divided among A, B, C in such a way that A gets $\frac{2}{3}$ of what B gets and B gets $\frac{1}{4}$ of what C gets, find their respective shares.

Answer 1

Dear Student,
$$\begin{gathered} LetsharesareA,B,C \\ Here \\ A=\frac{2}{3}B \\ B=\frac{1}{4}C \\ therefore \\ A=\frac{2}{3}\times \frac{1}{4}C \\ =\frac{1}{6}C \\ NowA+B+C=5100 \\ \frac{1}{6}C+\frac{1}{4}C+C=5100 \\ \frac{2C+3C+12C}{12}=5100 \\ 17C=5100\times 12 \\ C=\frac{61200}{17} \\ C=3600 \\ A=\frac{1}{6}\times 3600=600 \\ B=\frac{1}{4}\times 3600=900 \\ \mathit{S}\mathit{o}\mathbf{}\mathit{S}\mathit{h}\mathit{a}\mathit{r}\mathit{e}\mathit{s}\mathbf{}\mathit{o}\mathit{f}\mathbf{}\mathit{A}\mathbf{,}\mathbf{}\mathit{B}\mathbf{,}\mathbf{}\mathit{C}\mathbf{}\mathit{a}\mathit{r}\mathit{e}\mathbf{}\mathit{R}\mathit{s}\mathbf{}\mathbf{600}\mathbf{}\mathbf{,}\mathbf{}\mathit{R}\mathit{s}\mathbf{}\mathbf{120}\mathbf{,}\mathbf{}\mathit{R}\mathit{s}\mathbf{}\mathbf{3600} \end{gathered}$$
Regards