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 -
A. 2 : 3
B. 3 : 2
C. 5 : 2
D. 5 : 3
Answer: Option C
Solution(By Examveda Team)
Let the 2nd amount be Rs. x$$\eqalign{ & {\text{Then,}} \cr & {\text{A's share from }}{{\text{1}}^{{\text{st}}}}{\text{ amount}} \cr & = {\text{Rs}}{\text{.}}\left( {150000 \times \frac{2}{{10}}} \right) \cr & = {\text{Rs}}{\text{. }}30000. \cr & {\text{A's share from }}{{\text{2}}^{{\text{nd}}}}{\text{ amount}} \cr & = {\text{Rs}}{\text{.}}\left( {x \times \frac{5}{{10}}} \right) \cr & = {\text{Rs}}{\text{. }}\frac{x}{2}. \cr & \therefore \frac{x}{2} = 30000\,{\text{or}}\,x = 60000 \cr & {\text{Required ratio}} \cr & = 150000:60000 \cr & = 5:2 \cr} $$
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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