Rs. 1740 is divided among A, B and C such that 0.5 of A = 0.6 of B = 0.75 of C. Then C will get = ?

1Rs. 580
2Rs. 696
3Rs. 348
4Rs. 464

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \Rightarrow 0.5 A = 0.6 B = 1.75 C \\ \Rightarrow \frac{5}{10} \times A = \frac{6}{10} \times B = \frac{75}{100} \times C \\ \Rightarrow \frac{1}{2} A = \frac{3}{5} B = \frac{3}{4} C \\ \Rightarrow 10 A = 12 B = 15 C \\ \Rightarrow A : B : C \\ 12 \times 15 : 10 \times 15 : 10 \times 12 \\ \Rightarrow 180 : 150 : 120 \\ \Rightarrow 6 x : 5 x : 4 x \\ Total = 6 x + 5 x + 4 x = 15 x \\ 15 x = 1740 \\ \Rightarrow x = \frac{1740}{15} = Rs . 116 \\ ∴ Share of C is 4 x \\ = 4 \times 116 \\ = Rs . 464 \end{aligned}

$\eqalign{ & \Rightarrow 0.5{\text{A}} = 0.6{\text{B}} = 1.75{\text{C}} \cr & \Rightarrow \frac{5}{{10}} \times {\text{A}} = \frac{6}{{10}} \times {\text{B}} = \frac{{75}}{{100}} \times {\text{C}} \cr & \Rightarrow \frac{1}{2}{\text{A}} = \frac{3}{5}{\text{B}} = \frac{3}{4}{\text{C}} \cr & \Rightarrow 10{\text{A}} = 12{\text{B }} = 15{\text{C}} \cr & \Rightarrow {\text{A}}\,\,\,\,\,\,\,:\,\,\,\,\,\,{\text{B}}\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,{\text{C}} \cr & 12 \times 15:10 \times 15:10 \times 12 \cr & \Rightarrow 180\,\,\,:\,\,\,\,\,150\,\,\,\,\,\,:\,\,\,\,120 \cr & \Rightarrow 6x\,\,\,\,\,\,:\,\,\,\,\,\,5x\,\,\,\,\,\,\,:\,\,\,\,\,4x \cr & {\text{Total}} = 6x + 5x + 4x = 15x \cr & 15x = 1740 \cr & \Rightarrow x = \frac{{1740}}{{15}} = {\text{Rs}}{\text{. }}116 \cr & \therefore {\text{Share of C is }}4x \cr & = 4 \times 116 \cr & = {\text{Rs}}{\text{. 464}} \cr}$