Question

X and Y are two numbers. Two-third of the sum of 12% of X and 16% of Y is equal to the sum of 10% of X and 8% of Y. Determine the ratio of X and Y. *

1:1

3:4

2:3

4:3

​

Answer 1

Step-by-step explanation:

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

[A]. 2 : 5

[B]. 3 : 5

[C].

4 : 5 @

[D]. 6 : 7

Answer: Option C

Explanation:

Let the third number be x.

Then, first number = 120% of x = 120x = 6x

100 5

Second number = 150% of x = 150x = 3x

100 2

Ratio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5

Answer 2

Answer:

X:Y= 4:3

Step-by-step explanation:

According to the given condition

2/3(12%of x+ 16%of y)=(10%of x+8%of y)

$\frac{2}{3} ( \frac{12x}{100} + \frac{16y}{100} ) = ( \frac{10x}{100} + \frac{8y}{100} ) \\ 12x + 16y = 15x + 12y \\ 12x - 15x = 12y - 15y \\ - 3x = - 4y \\ \frac{x}{y} = \frac{ - 4}{ - 3} \\ \frac{x}{y} = \frac{4}{3}$

Hence, x : y = 4 : 3.