If an amount of Rs. 1,50,000 is shared among A, B, and C in the ratio 2 : 3 : 5, then A receives the same amount as he would receive if another sum of money is shared between A, B and C in the ratio of 5 : 3 : 2. The ratio of Rs. 1,50,000 to the second amount of money is -

Explanation:-

Let the 2^nd amount be Rs. x $$\eqalign{ & {\text{Then,}} \cr & {\text{A's share from }}{{\text{1}}^{{\text{st}}}}{\text{ amount}} \cr & = {\text{Rs}}{\text{.}}\left( {150000 \times \frac{2}{{10}}} \right) \cr & = {\text{Rs}}{\text{. }}30000. \cr & {\text{A's share from }}{{\text{2}}^{{\text{nd}}}}{\text{ amount}} \cr & = {\text{Rs}}{\text{.}}\left( {x \times \frac{5}{{10}}} \right) \cr & = {\text{Rs}}{\text{. }}\frac{x}{2}. \cr & \therefore \frac{x}{2} = 30000\,{\text{or}}\,x = 60000. \cr & {\text{Required ratio}} \cr & = 150000:60000 \cr & = 5:2 \cr}$$