Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is

Question

Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is increased by 8 then the new ratio becomes 2:5. what is the ratio 2y:(x+6)

A. 2:5
B. 3:5
C. 4:5
D. 5:3
E. 10:3

King407 · Answer

\frac{x}{y} = \frac{3}{5} => x = \frac{3y}{5}  --- 1

Now, x is increased by 20% i.e.  \frac{1}{5} th => Change in x = x +  \frac{1}{5} *x =>  \frac{6x}{5}

Change in y = y + 8

And,  \frac{6x}{5/y+8} = \frac{2}{5} => 6x = 2y + 16  --- 2

From 1 & 2,  \frac{18y}{5} = 2y + 16 => 18y = 10y + 80  => y = 10 and x = 6

Thus, 2y:(x+6) = 20:12 = 5:3

Hence, Answer is D

gmatgrl · Answer

Let:
x = 3n
y = 5n

3.6n/(5n+8) = 2/5

18n = 2*(5n+8)
n = 2

So, x =6; y=10

2y/(x+6) = 20/12 = 5:3

gracie · Answer

6/5x/(y+8)=2/5➡3y=9x-24
3y=5x
substituting, 9x-24=5x
x=6
y=10
2y:(x+6)=5:3

yoysufpolash · Answer

( 120/100 * 3Z ) / ( 5Z + 8 ) = 2 / 5
=> 90Z = 50Z +80
=> 40Z = 80 
=> Z = 2

X = 3*2 = 6
Y = 5*2 = 10

2*10 / ( 6 + 6 )
=20 / 12
=5/3

Answer : D

JeffTargetTestPrep · Answer

We are given that x : y = 3n : 5n.

Since x is increased by 20%, x = 1.2(3n) = 3.6n. Since y is increased by 8, y = 5n + 8. And now we have:

3.6n/(5n + 8) = 2/5

5(3.6n) = 2(5n + 8)

18n = 10n + 16

8n = 16

n = 2

Since n = 2, x = 3(2) = 6 and y = 5(2) = 10, and 2y : (x+6) = 20 : 12 = 5 : 3.

Answer: D

sunita123 · Answer

"y = 5n + 8"

Can you please tell why it is 8 and not .08 as it says 8 percent . 
oops it says 8 not 8 percent . Please ignore .

CEdward · Answer

6x/5 / y+ 8 = 2/5

((6x/5) x 5)) = 2y + 16
x = 2y + 16 / 6

x/y = 3/5 ---> x = 3y/5

3y/5 = (2y + 16) / 6
y = 10

x = 3(10) / 5 = 6

2y / x + 6 = 2(10) / 6 + 6 = 5/3

Answer is D.

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Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is

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