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The price ratio of oranges to lemons is 2:3. The price ratio of grapef

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The price ratio of oranges to lemons is 2:3. The price ratio of grapef  [#permalink]

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New post 21 Oct 2016, 00:09
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The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?

A. 18:20
B. 10:9
C. 2:5
D. 5:2
E. 3:2

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Re: The price ratio of oranges to lemons is 2:3. The price ratio of grapef  [#permalink]

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New post 21 Oct 2016, 13:05
Bunuel wrote:
The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?

A. 18:20
B. 10:9
C. 2:5
D. 5:2
E. 3:2


Let price of Lemons be 30 ( since that is common )

So, Price of Oranges = 20 & Price of Lemons is = 30

Further price of Grapefruit will be 6*3 = 18

Thus price, of grapefruit to oranges = 18 : 20

Hence correct answer will be (A)

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Re: The price ratio of oranges to lemons is 2:3. The price ratio of grapef  [#permalink]

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New post 21 Oct 2016, 13:18
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Bunuel wrote:
The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?

A. 18:20
B. 10:9
C. 2:5
D. 5:2
E. 3:2


Let's call the prices as O, L and G

we know that \(\frac{O}{L}\) = \(\frac{2}{3}\) ==> \frac{O=[fraction]2}{3}*L[/fraction]

we know also \(G=\frac{3}{5}*L\)

therefore \(\frac{G}{O}= \frac{(3}{5*L)/(2/3*L)}\) = \(\frac{9}{10}\) =\(\frac{18}{20}\)

answer A
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Re: The price ratio of oranges to lemons is 2:3. The price ratio of grapef  [#permalink]

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New post 21 Oct 2016, 13:21
Bunuel wrote:
The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?

A. 18:20
B. 10:9
C. 2:5
D. 5:2
E. 3:2


Let's call the prices as O, L and G

we know that \(\frac{O}{L}\) = \(\frac{2}{3}\) ==> \(O= \frac{2}{3}*L\)

we know also \(G=\frac{3}{5}*L\)

therefore \(\frac{G}{O}= (3/5*L)/(2/3*L)\) = \(\frac{9}{10}\) =\(\frac{18}{20}\)

answer A
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The price ratio of oranges to lemons is 2:3. The price ratio of grapef  [#permalink]

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New post 18 Nov 2016, 08:18
Bunuel wrote:
The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?

A. 18:20
B. 10:9
C. 2:5
D. 5:2
E. 3:2


Hi Bunuel.

I have solved, and usually solve the ratio problems, in the following manner. Could you please comment on this approach in terms of (a) whether it takes more time or not (b) possibility of making mistakes and (c) any other input. Would highly appreciate your view.

First, I make the ratio as a fraction

(1) O / L = 2 / 3
(2) G / L = 3 / 5

Second, make the denominators equal (or numerators equal by multiplying a common factor). Here I made the denominators equal.

(1) O / L = 10 / 15
(2) G / L = 9 / 15

Therefore, G : L = 9 : 10.

Though 9:10 is not among the answer choices, but its multiple is there. (18:20); and I did pick the right choice. It took me a little more than 1 minutes to finish the entire process.

Please advise me Bunuel.
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Re: The price ratio of oranges to lemons is 2:3. The price ratio of grapef  [#permalink]

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New post 05 Dec 2016, 16:04
Bunuel wrote:
The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?

A. 18:20
B. 10:9
C. 2:5
D. 5:2
E. 3:2


tricky one...

O:L= 2:3
G:L = 3:5
or L:G = 5:3

O:L = 10:15
L:G = 15:9
G:O = 9:10
we don't have such an option, but A represents the same proportion.

A must be the answer.
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Re: The price ratio of oranges to lemons is 2:3. The price ratio of grapef  [#permalink]

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Re: The price ratio of oranges to lemons is 2:3. The price ratio of grapef &nbs [#permalink] 10 Dec 2017, 13:23
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