A) Rs. 270
B) Rs. 245.05
C) Rs. 254.05
D) Rs. 245.50
Correct Answer: B
Solution :
\[\frac{2}{5}x+40=\frac{2}{7}y+20=\frac{9}{17}z+10=a\] |
\[\therefore \] \[x=\frac{5}{2}\,\,(a-40)x,\]\[y=\frac{7}{2}\,\,(a-20)\] |
and \[z=\frac{17}{9}(a-10)\] |
\[\therefore \]\[\frac{5}{2}(a-40)+\frac{7}{2}\,\,(a-20)+\frac{17}{9}\,\,(a-10)=900\] |
\[\Rightarrow \]\[45a-1800+63a-1260+34a-340=16200\] |
\[\Rightarrow \] \[142a=16200+3400\] |
\[a=\frac{19600}{142}=138.02\] |
\[\therefore \] X?s share \[=\frac{5}{2}(138.02-40)=\frac{5}{2}\times 98.02\] |
= Rs. 245.05 |
= Rs. 245.05 |
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