A fraction is such that if the double of the numerator and the triple pf the denominator is changed by +10 percent and -30 percent respectively, then we get 11 percent of $$\frac{16}{21}$$. Find the fraction :
A. $$\frac{2}{25}$$
B. $$\frac{3}{25}$$
C. $$\frac{4}{25}$$
D. None of these
Answer: Option A
Solution(By Examveda Team)
Let the fraction be $$\frac{x}{y}$$Then,
$$\eqalign{ & \Leftrightarrow \frac{{110\% {\text{ of 2}}x}}{{70\% {\text{ of 3}}y}} = 11\% {\text{ of }}\frac{{16}}{{21}} \cr & \Leftrightarrow \frac{{22x}}{{21y}} = \frac{{11}}{{100}} \times \frac{{16}}{{21}} \cr & \Leftrightarrow \frac{x}{y} = \left( {\frac{{11}}{{100}} \times \frac{{16}}{{21}} \times \frac{{21}}{{22}}} \right) \cr & \Leftrightarrow \frac{x}{y} = \frac{2}{{25}} \cr} $$
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
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