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Re: DS ratios [#permalink]
combres wrote:
A certain company divides its total advertising budget into television, radio, newspaper, and magazine budgets in the ratio of 8:7:3:2 respectively. How many dollars are in the radio budget?

1) The television budget is $18,750 more than the newspaper budget

2) The magazine budget is $7,500.



S1.

8/3=x+18750/x ---> 8x=3x+56250 5x=56250 x=11250

7*11250/3 =26250

S2: 2x=7500
x=3750. 3750/2*7=26250.


Ans D.
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A certain company divides its total advertising budget into [#permalink]
Expert Reply
Hi GMATters,

Here's my video explanation of this problem:




Enjoy!

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Re: A certain company divides its total advertising budget into [#permalink]
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combres wrote:
A certain company divides its total advertising budget into television, radio, newspaper, and magazine budgets in the ratio of 8:7:3:2 respectively. How many dollars are in the radio budget?

(1) The television budget is $18,750 more than the newspaper budget

(2) The magazine budget is $7,500.



The figures are
Television 8x
Radio 7x
News Paper 3x
Magazine 2x

(1) 8x-3x= 18,750 Sufficient

(2) 2x = 7500 Sufficient.

Ans. D.
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Re: A certain company divides its total advertising budget into [#permalink]
1
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Ratio:
Television : 8
Radio : 7
News Paper : 3
Magazine : 2

(1) 8x=18,750+3x
x=3750
Sufficient

(2) 2x=7500
Sufficient
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Re: A certain company divides its total advertising budget into [#permalink]
Expert Reply
Step 1: Analyse Question Stem

A company’s total advertising budget is divided into four components in the ratio of 8 : 7 : 3 : 2 respectively.
Since a ratio does not always represent the actual value, the actual values of these can be assumed to be 8k, 7k, 3k and 2k respectively.

The dollar value of the radio budget has to be found out; therefore, we have to find the value of 7k, for which we need the value of k.

Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE

Statement 1: The television budget is $18,750 more than the newspaper budget

This means, 8k = 3k + 18750.

Can we find out the value of k from the above equation? Yes, we can. Therefore, we can also find out the value of 7k and hence answer the question.
In a lot of DS questions like these, save time by not trying to find the exact answer.

The data in statement 1 is sufficient to find a unique value for the dollar value of the radio budget.
Statement 1 alone is sufficient. Answer options B, C and E can be eliminated.

Statement 2: The magazine budget is $7,500.

This means, 2k = 7,500

This is clearly sufficient to find the value of k and hence the value of 7k.

The data in statement 2 is sufficient to find a unique value for the dollar value of the radio budget.
Statement 2 alone is sufficient. Answer option A can be eliminated.

The correct answer option is D.
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Re: A certain company divides its total advertising budget into [#permalink]
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