One - fourth of sixty percent of a number is equal to two - fifths of twenty percent of another number. What is the respective ratio of the first number to the second number ?

One - fourth of sixty percent of a number is equal to two - fifths of twenty percent of another number. What is the respective ratio of the first number to the second number ? Correct Answer None of these

Let the numbers be x and y
$$\eqalign{ & {\text{Then,}} \cr & = \frac{1}{4}{\text{ of }}\left( {60\% {\text{ of }}x} \right) \cr & = \frac{2}{5}{\text{ of }}\left( {20\% {\text{ of }}y} \right) \cr & \Rightarrow \left( {\frac{1}{4} \times \frac{{60}}{{100}} \times x} \right) = \left( {\frac{2}{5} \times \frac{{20}}{{100}} \times y} \right) \cr & \Rightarrow \frac{{3x}}{{20}} = \frac{{2y}}{{25}} \cr & \Rightarrow \frac{x}{y} = \frac{2}{{25}} \times \frac{{20}}{3} = \frac{8}{{15}} \cr & \Rightarrow x:y = 8:15 \cr} $$
Bissoy MCQ

Related Questions

One-fourth of sixty percent of a number is equal to two-fifth of twenty percent of another number. What is the respective ratio of the first number to the second number ?
The proportion of female students enrolled in higher education programs has increased over the past years. This is partly shown by the fact that in 2000. only 10% of the female students between twenty and twenty -one were enrolled in college, while in 2007 , 30% of the female students between twenty and twenty -one were enrolled in college. To evaluate the argument above, it would be most useful to compare 2000 with 2007 with regard to which of the following characteristics?
When 30% of one number is subtracted from another number, the second number reduces to its four-fifths. What is the ratio of the first to the second number? 
Two-fifths of the caps in a box are red, one-fourth are blue and the rest are green. What is the ratio of the green caps to the blue caps?
Mithu is ranked twenty- first in a class of sixty-five students. What will be his rank if the lowest candidate is assigned rank 1?
Mitu is ranked twenty-first in a class of sixty five students. What will be his rank if the lowest candidate is assigned rank 1?
Two-fifths of the socks in box are , one-third is blue, and the rest are green. What is the ratio of the green socks to the blue socks?
Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?
A man sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 20% and the second articles is sold at a loss of 20%. What is the ratio of the selling price of the first article and the cost price of the second article?
Sixty-five percent of a number is 21 less than four-fifth of that number. What is the number ?