If Rs. x are divided between A and B in the ratio $$\frac{{\text{a}}}{{\text{b}}}$$ : $$\frac{{\text{c}}}{{\text{d}}}{\text{,}}$$ then A gets rupees -
A. $$\frac{{adx}}{{ab + cd}}$$
B. $$\frac{{adx}}{{ad + bc}}$$
C. $$\frac{{abx}}{{ad + bc}}$$
D. $$\frac{{abx}}{{ac + bd}}$$
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{A}}:{\text{B}} = \frac{a}{b}:\frac{c}{d} \cr & = \left( {\frac{a}{b} \times bd} \right):\left( {\frac{c}{d} \times bd} \right) \cr & = ad:bc \cr & \therefore {\text{A's share}} \cr & = Rs.\left( {\frac{{adx}}{{ad + bc}}} \right) \cr} $$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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