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# Jo's collection contains US, Indian and British stamps. If the ratio

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Joined: 02 Sep 2009
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Jo's collection contains US, Indian and British stamps. If the ratio  [#permalink]

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22 May 2016, 12:46
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5% (low)

Question Stats:

93% (01:00) correct 7% (01:40) wrong based on 58 sessions

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Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1
B. 10 : 5
C. 15 : 2
D. 20 : 2
E. 25 : 2

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Re: Jo's collection contains US, Indian and British stamps. If the ratio  [#permalink]

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23 May 2016, 03:58
Ratio of US to Indian stamps is 5:2
U/I = 5:2
= 25:10

ratio of Indian to British stamps is 5 : 1
I/B = 5:1
=10:2

Now , Ratio of US to British stamps
U/B = 25:2
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Re: Jo's collection contains US, Indian and British stamps. If the ratio  [#permalink]

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23 May 2016, 10:33
Bunuel wrote:
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1
B. 10 : 5
C. 15 : 2
D. 20 : 2
E. 25 : 2

Posting Ratios as -

Attachment:

Capture.PNG [ 2.52 KiB | Viewed 25624 times ]

So, the ratio of US to British stamps will be 25 : 2

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Re: Jo's collection contains US, Indian and British stamps. If the ratio  [#permalink]

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24 May 2016, 03:14
Bunuel wrote:
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1
B. 10 : 5
C. 15 : 2
D. 20 : 2
E. 25 : 2

US: Indian = 5:2 = 25:10
Indian: British = 5:1 = 10:2

Hence US: Indian: British = 25:10:2
US: British = 25:2

Correct Option: E
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Re: Jo's collection contains US, Indian and British stamps. If the ratio  [#permalink]

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24 May 2016, 04:19
Bunuel wrote:
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1
B. 10 : 5
C. 15 : 2
D. 20 : 2
E. 25 : 2

US:I= 5:2

I:B= 5:1

Multiply US:I by 5 and I:B by 2

US:I:B= 25:10:2

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Re: Jo's collection contains US, Indian and British stamps. If the ratio  [#permalink]

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24 May 2016, 05:58
Bunuel wrote:
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1
B. 10 : 5
C. 15 : 2
D. 20 : 2
E. 25 : 2

U/I = 5/2

I/B = 5/1

Since I is multiple of both 2 (as per first ratio) and 5 (as per second ratio) so let's assume that I = 10
i.e. Multiplying teh first ratio by 5 and second ration by 2 in each numerator and denominator

then, U : I : B = 25 : 10 : 2

i.e. U : B = 25 : 2

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Re: Jo's collection contains US, Indian and British stamps. If the ratio  [#permalink]

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27 Nov 2019, 10:22
Bunuel wrote:
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A. 5 : 1
B. 10 : 5
C. 15 : 2
D. 20 : 2
E. 25 : 2

Ratio of US : Indian stamps = 5:2
Ratio of Indian : British stamps = 5:1

Ratio of US : Indian : British stamps = 25:10:2
Ratio of US : British stamps = 25:2

IMO E

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Re: Jo's collection contains US, Indian and British stamps. If the ratio   [#permalink] 27 Nov 2019, 10:22