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# m14#37

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m14#37 [#permalink]

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18 May 2009, 15:32
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If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars?

(A) 58
(B) 64
(C) 68
(D) 76
(E) 82

[Reveal] Spoiler: OA
D

Source: GMAT Club Tests - hardest GMAT questions

i didnt really like the answer explanation for number 37. can someone please elucidate?

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m14#37 [#permalink]

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18 May 2009, 19:42
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dakhan wrote:
i didnt really like the answer explanation for number 37. can someone please elucidate?

1. \$10 = 24F
\$5/12 = 1F .........................i

2. £12 = 36F
£1/3 = 1F ................................ii

3. \$5/12 = £1/3 ................................iii
\$1= £4/5
\$95= (£4/5)(95)
\$95= £76

3rd step can be done alternatively:
\$5/12 = £1/3 ................................iii
\$1= £4/5
\$1= £0.8
\$95= £0.8 (95)
\$95= £8 (9.5)
\$95= £76

\$95= £76

Does it helped you?
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m14-Q37.jpg [ 36.54 KiB | Viewed 7545 times ]

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Senior Manager
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Re: m14#37 [#permalink]

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17 Jun 2010, 06:31
GMAT Tiger, I’ve gotta be honest with you. I don’t get your logic and I tried three times to get one of these answers but I got none of them. Would you mind letting me know where my error is?

Let d= dollars, f=francs, p=pounds

10d = 24f
10d/24 = f
f= 5d/12

12p = 36f
12p = 36((5d)/12)
12p = 3*5d
12p = 15d
P = 15d/12
P= 5d/4

So p=5*95/4
P= 475/4 which is about 118
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Re: m14#37 [#permalink]

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17 Jun 2010, 07:12
Hi vannbj,

If you don't mind, I would like point from where your logic went wrong.
You were right till, P= 5d/4. From here your logic went wrong.

Now this means,

1D= 4P/5

In order to calculate 95D, we have to multiply both sides, i.e.
95D=4*95P/5=4*19P/5 = 76P.

Please let me know whether my explanation makes sense to you. Thanks for your time.

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Re: m14#37 [#permalink]

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17 Jun 2010, 07:54
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Here is an easier way to do it. Let's start with the end of the problem. The question asks for the amount of pounds you get from \$95.

Now, let's use that in the first part of the problem: Since \$10 = 24 Franc, let's find how many Francs = \$95

So for every \$10, you get 24 Franc. For \$20, you get 48 Franc (by multiplying 24 x 2). So for \$95, multiply 24 x 9.5.
This tells you that for \$95, you get 24 x 9.5 = 228 Francs

Now let's move to the second part: It tells you 12 pound = 36 Franc. But since we know that we are now looking for 228 Franc (since that is equal to \$95), we can set up an easy proportion:

(12 pound / 36 Franc) = (x pound / 228 Franc)

Reducing the first fraction to 1 / 3 helps, but this lets you find how many pounds you get for 228 Franc (which, as we found out, is equivalent to \$95). This leads you to 76, Answer D

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Re: m14#37 [#permalink]

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17 Jun 2010, 08:47
tha basic idea is to convert \$1 and 1GBP to the Franc equivalent since Franc is the common denominator. Once u do that the rest falls into place

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Re: m14#37 [#permalink]

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17 Jun 2010, 08:57
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Hope this helps and makes it simple :

10\$ - 24 Frncs = 5\$ - 12 Frncs
&
12 P - 36 Frncs = 1 P - 3 Frncs

95\$ = 9 * 24 + 12 = 216 + 12 = 228/3 = 76 Fancs
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Senior Manager
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Re: m14#37 [#permalink]

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17 Jun 2010, 09:15
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Bingo I got it. Thanks guys. You've gotta multiply both sides by the 95 once you solve for d which is really 1d and we want to get 95d. So I don't replace d with 95. Instead I solve for 95d.
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Re: m14#37 [#permalink]

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17 Jun 2010, 20:38
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10D=24F So, 5D=12F ............1
12P=36F So, P=3F ................2
FROM ONE TWO

19*5D=19*(4(3F)) putting 3F=P from 2
95D=76P

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Re: m14#37 [#permalink]

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19 Jun 2010, 04:19
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if 5D => 12F........(1)
and 4P => 12F......(2)
therefore, 5D= 4P
and 95D = 19 x 4P = 76P
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Re: m14#37 [#permalink]

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21 Jun 2011, 07:29
10D=24franks =>5D=12franks => 95D=12*19franks.
12 pounds=36franks => 1pound=3franks
therefore 95D=(12*19)/3=76 pounds
therefore Answer:D
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Re: m14#37 [#permalink]

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21 Jun 2011, 09:26
dakhan wrote:
If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars?

(A) 58
(B) 64
(C) 68
(D) 76
(E) 82

[Reveal] Spoiler: OA
D

Source: GMAT Club Tests - hardest GMAT questions

i didnt really like the answer explanation for number 37. can someone please elucidate?

i think the eaiest way to do this is ratios
Dollar =D
Franc = F
Pound = P

D:F = 10:24
P:F = 12:36
D:F:P=
multiply 1.5 to first equation
15:36
now its easy

15:36:12
now 95 dollars = ?pounds
95*12/15 = 76

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Re: m14#37 [#permalink]

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21 Jun 2011, 18:10
If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars?

12P = 36 F
> 1P=3F

10D = 24F (or 8P)
95D= (8p x 9) + 4 (or 5D)

Ans. 76
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Re: m14#37 [#permalink]

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25 Jun 2012, 04:39
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Dear Mr. Black Market Forex Dealer,

A good way to solve this problem is to simply multiply the ratios at the same time. One can do this by setting up the fractions keeping in mind that want to start with dollar (D) and end with pound (P). We use "??" to represent a given quantity

Therefore we have: (D)*(??/??)*(P/??)

Now let's flesh out our equations to make terms cancel out to leave final answer in terms of "P". We have:

(D)*(F/D)*(P/F) This cancels everything leaving "P" (our desired currency as the last man standing)
(95D)*(24F/10D)*(12P/36F)= 76P

Answer is D.

Cheers,
Der alte Fritz.
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Last edited by OldFritz on 25 Jun 2012, 04:46, edited 1 time in total.

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Re: m14#37 [#permalink]

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25 Jun 2012, 04:44
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Expert's post
If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, how many pound is 95 dollars?

A. 58
B. 64
C. 68
D. 76
E. 82

Given:
\$10 = 24F;
£12 = 36F --> £8 = 24F;

So, \$10 = £8 --> \$95 = £8*9.5= £76.

Answer: D.
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Re: m14#37 [#permalink]

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28 Jun 2012, 09:20
Hey folks, just an FYI. I started my MBA this summer, but I still work these questions because I think it keeps me sharp. Anyway, a question almost identical to this came up on my International Business tests. Even if you don't get it on the GMAT, it's good to know.

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Re: m14#37 [#permalink]

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25 Jun 2013, 16:07
Answer: D

If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars?

(A) 58
(B) 64
(C) 68
(D) 76
(E) 82

Most importantly this a ratio type of question were we need to a common base:

So 10 dollars --> 24 francs
And 12 pounds ---> 36 francs

If multiply the first equation by 3/2 both sides:
15 dollars --> 36 francs

As you can see both 12 pounds and 15 dollars is equal to 36 francs, hence:
12 pounds ---> 15 dollars
then: x pounds --> 95 dollars

x = (12*95)/15 = 76
Tip: if you simplify the numerator and denominator you would get => 4 * 19 = 76 ; also there is only answer with unit digit 6, hence 4* 9 is sufficient enough.

This helps me be quicker in both problem solving and data sufficiency questions.

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Re: m14#37 [#permalink]

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25 Jun 2013, 21:03
[quote="dakhan"]If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, what is the pound equivalent of 95 dollars?

(A) 58
(B) 64
(C) 68
(D) 76
(E) 82

ANSWER:
What is common in both data - Franc. Now Convert all into francs by taking LCM of 24 and 36 (francs) = 72.
10d = 24f (24x3times=72) Therefore, 10x3times=30d
12p = 36f (36x3times=72 or 72/36=2. therefore 12x2times=24p
Now the equation can be seen as: 30d=72f and 24p=72f. Therefore 30d=24p
We are asked- how many p equivalent to 95d.
since 24p=30d
? = 95d
24x95/30= 76

Ans=D

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Re: m14#37 [#permalink]

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26 Jun 2013, 14:43
I took a bit longer but solved this using ratios.
Convert dollars to francs: 10/24 = 95/x. Simplified this to 1/2.4 = 95/x. Cross multiply to get x=95*2.4 or x = 228. So 95 dollars = 228 franc.
Now convert francs to pounds: 12/36 = x/228. Simplified this to 1/3 = x/228. Cross multiply to get 3x = 228 or 76

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Re: m14#37 [#permalink]

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17 Jun 2014, 02:25
Its pretty simple!
we have Dollar:Francs = 10:24 or 5:12
and francs:pounds = 36:12 or 3:1
so, dollar:frans:pounds = 5:12:4

=> 5 dollars - 4 pounds
so, 95 dollars - x pounds
cross multiply, we get x = (95*4)/5 = 76

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Re: m14#37   [#permalink] 17 Jun 2014, 02:25
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# m14#37

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