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

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New post Updated on: 02 May 2015, 13:05
3
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

78% (02:42) correct 22% (03:01) wrong based on 165 sessions

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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

Originally posted by grizzzlyy on 02 May 2015, 09:05.
Last edited by Bunuel on 02 May 2015, 13:05, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is  [#permalink]

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New post 02 May 2015, 22:51
1
grizzzlyy wrote:
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


\(\frac{x}{y} = \frac{3}{5} => x = \frac{3y}{5}\) --- 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
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Re: Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is  [#permalink]

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New post 03 May 2015, 05:32
1
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
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Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is  [#permalink]

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New post 19 Nov 2015, 22:23
6/5x/(y+8)=2/5➡3y=9x-24
3y=5x
substituting, 9x-24=5x
x=6
y=10
2y:(x+6)=5:3
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Re: Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is  [#permalink]

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New post 14 Jun 2017, 12:51
grizzzlyy wrote:
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



( 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
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Re: Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is  [#permalink]

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New post 06 Jul 2017, 17:39
grizzzlyy wrote:
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


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
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Re: Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is   [#permalink] 06 Jul 2017, 17:39
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