If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is $$\frac{15}{26}$$. What was the original fraction ?
A. $$\frac{8}{11}$$
B. $$\frac{10}{11}$$
C. $$\frac{9}{13}$$
D. $$\frac{10}{13}$$
E. None of these
Answer: Option D
Solution(By Examveda Team)
Let the fraction be $$\frac{x}{y}$$Then,
$$\eqalign{ & \Leftrightarrow \frac{{x + 200\% {\text{ of }}x}}{{y + 300\% {\text{ of }}y}} = \frac{{15}}{{26}} \cr & \Leftrightarrow \frac{{3x}}{{4y}} = \frac{{15}}{{26}} \cr & \Leftrightarrow \frac{x}{y} = \frac{{15}}{{26}} \times \frac{4}{3} \cr & \Leftrightarrow \frac{x}{y} = \frac{{10}}{{13}} \cr} $$
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If one-third of one-fourth of a number is 15, then three-tenth of that number is:
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C. 45
D. 54
E. None of these
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E. None of these
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D. Cannot be determined
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