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 = ?
A. Rs. 580
B. Rs. 696
C. Rs. 348
D. Rs. 464
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & \Rightarrow 0.5{\text{A}} = 0.6{\text{B}} = 1.75{\text{C}} \cr & \Rightarrow \frac{5}{{10}} \times {\text{A}} = \frac{6}{{10}} \times {\text{B}} = \frac{{75}}{{100}} \times {\text{C}} \cr & \Rightarrow \frac{1}{2}{\text{A}} = \frac{3}{5}{\text{B}} = \frac{3}{4}{\text{C}} \cr & \Rightarrow 10{\text{A}} = 12{\text{B }} = 15{\text{C}} \cr & \Rightarrow {\text{A}}\,\,\,\,\,\,\,:\,\,\,\,\,\,{\text{B}}\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,{\text{C}} \cr & 12 \times 15:10 \times 15:10 \times 12 \cr & \Rightarrow 180\,\,\,:\,\,\,\,\,150\,\,\,\,\,\,:\,\,\,\,120 \cr & \Rightarrow 6x\,\,\,\,\,\,:\,\,\,\,\,\,5x\,\,\,\,\,\,\,:\,\,\,\,\,4x \cr & {\text{Total}} = 6x + 5x + 4x = 15x \cr & 15x = 1740 \cr & \Rightarrow x = \frac{{1740}}{{15}} = {\text{Rs}}{\text{. }}116 \cr & \therefore {\text{Share of C is }}4x \cr & = 4 \times 116 \cr & = {\text{Rs}}{\text{. 464}} \cr} $$Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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