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Data Sufficiency (DS) | Re: Out of a stock of 10 microphones, an electronics store sold more than

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stne wrote:

Gangadhar111990 wrote:
­Out of a stock of 10 microphones, an electronics store sold more than half of the microphones for $X and the remainder for $Y. If the average cost of the microphones to the store was $50 and the store's average profit on a pair of microphones was $20, what was the value of X?

(1) The store sold 20 microphones at $Y.
(2) Y=$60



 

­If profit for\(2\)   Mics is\(40\) then profit for\(10\) mics is\(200\)

Hence total sales revenue is\(700\)

(1) The store sold 2 microphones at$Y.

\( 8x+2y=700\)

Clearly insuff as\(x\) and\(y\) can have manyvalues.

(2) Y=$60

We do not know how many were sold for\($60\)

\( 8x +2*60 =700\)

\( 7x+ 3*60=700\)

etc.

We will get different values of\(x\) 

INSUFF.

1+2 

\( 8x+2*60=700\)

\(x=72.5 \)

SUFF.

Ans C

Hope ithelped.

Gangadhar111990 ,Bunuel There is a  typo in statement 1. Thankyou.­

­Can't we solve I alone by x + y = 10 mics? Substitution of 2 variables with 2 equations.
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Statistics : Posted by renzosm93 • on 20 Mar 2024, 08:25 • Replies 3 • Views 417



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