| By mistake instead of dividing Rs. 1692 between A, B and C in the proportion 1/3: 1/4: 1/5, it was divided in the proportion of 3: 4: 5. Who gains most and by what amount? |
A) C, Rs. 273
B) B, Rs. 24
C) B, Rs. 26
D) A, Rs. 46
Correct Answer: A
Solution :
| In the first case \[=\frac{1}{3}:\frac{1}{4}:\frac{1}{5}=20:15:12\] |
| A gets \[=\frac{20}{47}\times 1692=\text{Rs}\text{. 720}\] |
| B gets \[=\frac{15}{47}\times 1692=\text{Rs}\text{. 540}\] |
| C gets \[=1692-\,\,(720+540)=\text{Rs}\text{. 432}\] |
| In the second case, A gets \[=\frac{3}{12}\times 1692=\text{Rs}\text{. 432}\] |
| B gets \[=\frac{4}{12}\times 1692=\text{Rs}\text{.}\,\,\text{564}\] |
| and C gets \[=\frac{5}{12}\times 1692=\text{Rs}\text{. 705}\] |
| C gain's most by \[(705-432)=\text{Rs}\text{. 273}\] |
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