If a number is reduced by 40% it becomes two-thirds of another number. What is the ratio of the first number to the second number ?
A. 8 : 9
B. 9 : 8
C. 10 : 9
D. 9 : 10
E. None of these
Answer: Option C
Solution(By Examveda Team)
Let the numbers be $$x$$ and $$y$$ respectivelyThen,
60% of $$x$$ = $$\frac{{2}}{{3}}$$ $$y$$
⇒ $$\frac{{60}}{{100}}$$ $$x$$ = $$\frac{{2}}{{3}}$$ $$y$$
⇒ $$\frac{{3}}{{5}}$$ $$x$$ = $$\frac{{2}}{{3}}$$ $$y$$
⇒ $$\frac{{x}}{{y}}$$ = $$\frac{{2}}{{3}}$$ × $$\frac{{5}}{{3}}$$
⇒ $$\frac{{x}}{{y}}$$ = $$\frac{{10}}{{9}}$$
∴ x : y = 10 : 9
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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