SSC Sample Paper Mock Test-15 SSC CGL Tear-II Paper-1

Rs. 600 are divided among A, B and C so that? 40 more than \[\frac{2}{5}\]of A's share, Rs. 20 more than, of B 's share and Rs. 10 more than \[\frac{2}{7}\]of C's share are all equal. A's share is

A) Rs. 180

B) Rs. 160

C) Rs. 150

D) Rs. 140

Correct Answer: C

Solution :

\[\frac{2}{5}A+40=\frac{2}{7}B+20=\frac{9}{17}C+10=x\]

\[\therefore \] \[A=\frac{5}{2}(x-\,\,40)\]

\[B=\frac{7}{2}(x-20)\] and \[C=\frac{17}{9}\,\,(x-10)\]

\[\therefore \]\[\frac{5}{2}(x-40)+\frac{7}{2}(x-20)+\frac{17}{9}\,\,(x-10)=600\]

\[\Rightarrow \] \[x=100\]

\[\therefore \] A?s share \[\text{=}\,\,\text{Rs}\text{.}\,\,\frac{5}{2}(100-40)\]= Rs. 150