fraction

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ddm: Master | Next Rank: 500 Posts; Posts: 162; Joined: Mon Jul 28, 2008 8:33 pm; Location: San Jose,CA; Thanked: 1 times

by ddm » Mon Sep 08, 2008 1:43 pm

A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?

(A) 1/4

(B) 1/3

(C) 1/2

(D) 2/3

(E) 3/4

Your Answer : D
Actual Answer : B

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Source: Beat The GMAT — Problem Solving | Mon Sep 08, 2008 1:43 pm

sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

Re: fraction

by sudhir3127 » Mon Sep 08, 2008 9:08 pm

ddm wrote:A certain quantity of 40% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?

(A) 1/4

(B) 1/3

(C) 1/2

(D) 2/3

(E) 3/4

Your Answer : D
Actual Answer : B

let x be the fraction replaced. if x is the fraction then the total is 1.

(1-x)*40 + x*25 = 35
40 - 40x + 25x = 35
5 = 15x
x = 1/3

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