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# If during a one-year period, the dividend paid on a certain share of

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Math Expert
Joined: 02 Sep 2009
Posts: 44285
If during a one-year period, the dividend paid on a certain share of [#permalink]

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21 Feb 2018, 00:58
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25% (medium)

Question Stats:

77% (01:21) correct 23% (02:11) wrong based on 52 sessions

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If during a one-year period, the dividend paid on a certain share of stock was equal to 67/8% of the par value of the stock, then the dividend paid was what fraction of the par value of the stock?

(A) 32/800
(B) 67/800
(C) 32/100
(D) 67/100
(E) 72/100
[Reveal] Spoiler: OA

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Senior Manager
Joined: 07 Jul 2012
Posts: 322
Location: India
Concentration: Finance
Re: If during a one-year period, the dividend paid on a certain share of [#permalink]

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21 Feb 2018, 02:07
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KUDOS
Let par value of stock= 100

Dividend= $$\frac{67}{8}$$ % of 100= $$\frac{67}{8}$$

Required fraction= $$\frac{67}{8}$$*$$\frac{1}{100}$$=$$\frac{67}{800}$$

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Manager
Joined: 23 Sep 2016
Posts: 208
Re: If during a one-year period, the dividend paid on a certain share of [#permalink]

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22 Feb 2018, 00:17
Bunuel wrote:
If during a one-year period, the dividend paid on a certain share of stock was equal to 67/8% of the par value of the stock, then the dividend paid was what fraction of the par value of the stock?

(A) 32/800
(B) 67/800
(C) 32/100
(D) 67/100
(E) 72/100

IMO b S Divident= 67/8/100 of par value of stock
so divident= 67*par value of stock/800 so answer is B.
Intern
Joined: 28 Jun 2017
Posts: 4
If during a one-year period, the dividend paid on a certain share of [#permalink]

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09 Mar 2018, 00:13
let x be the value of the stock. Now dividend paid was $$\frac{67}{8}$$% which is equal to $$\frac{67}{8}*\frac{1}{100} * x$$ = $$\frac{67x}{800}$$

Now we have to find the fraction - dividend paid was what fraction of the par value of the stock

$$\frac{67x}{800*x}$$ = 67/800 answer B.
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2116
Re: If during a one-year period, the dividend paid on a certain share of [#permalink]

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12 Mar 2018, 16:27
Bunuel wrote:
If during a one-year period, the dividend paid on a certain share of stock was equal to 67/8% of the par value of the stock, then the dividend paid was what fraction of the par value of the stock?

(A) 32/800
(B) 67/800
(C) 32/100
(D) 67/100
(E) 72/100

In the same way that we express 37% as 37/100, we will express 67/8% as (67/8)/100. Letting the par value = p, we have:

Dividend = [(67/8)/100]p

Dividend = (67/800)p

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Re: If during a one-year period, the dividend paid on a certain share of   [#permalink] 12 Mar 2018, 16:27
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