| If Rs. 510 is divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets \[\frac{1}{4}\]of what C gets, then their shares are respectively |
A) Rs. 126, Rs. 240, Rs. 150
B) Rs. 60, Rs. 90, Rs. 360
C) Rs. 150, Rs. 300, Rs. 60
D) None of the above
Correct Answer: B
Solution :
| Let the share of C = x |
| Then, share of \[B=\frac{1}{4}x\] |
| Share of A \[=\frac{2}{3}\times \frac{1}{4}x=\frac{1}{6}x\] |
| Now, \[x+\frac{1}{4}x+\frac{1}{6}x=510\] |
| \[\Rightarrow \] \[12x+3x+2x=510\times 12\] |
| \[\Rightarrow \] \[17x=510\times 12\]\[\Rightarrow \]\[x\frac{x}{200}=1\] |
| \[\Rightarrow \] \[x=\text{Rs}.\,\,360\] |
| B's share \[=\frac{1}{4}\times 360=Rs.\,\,90\] |
| A's share \[=\frac{1}{6}\times 360=Rs.\,\,60\] |
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