Find the fraction which bears the same ratio to $$\frac{1}{{27}}$$ that $$\frac{3}{7}$$ does to $$\frac{5}{9}$$ = ?
A. $$\frac{5}{9}$$
B. $$\frac{1}{{35}}$$
C. $$\frac{{45}}{7}$$
D. $$\frac{7}{{45}}$$
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let the fraction is }}x \cr & \Rightarrow x:\frac{1}{{27}}::\frac{3}{7}:\frac{5}{9} \cr & \Rightarrow \frac{x}{{\frac{1}{{27}}}} = \frac{{\frac{3}{7}}}{{\frac{5}{9}}} \cr & \Rightarrow 27x = \frac{{3 \times 9}}{{7 \times 5}} \cr & \Rightarrow x = \frac{1}{{35}} \cr} $$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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