collection of tough problems from G PREP - 35 - The Beat The GMAT Forum

collection of tough problems from G PREP - 35

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abhasjha: Master | Next Rank: 500 Posts; Posts: 379; Joined: Tue Sep 30, 2008 7:17 amFollowed by: 11 members; Location: NY; Thanked: 28 times

by abhasjha » Mon Feb 08, 2010 3:28 am

JASON'S SALARY AND KAREN'S SALARY WERE EACH P PERCENT GREATER IN 1998 THAN IN 1995. WHAT IS THE VALUE OF P?

1. IN 1995 KAREN'S SALARY WAS 2,000 GREATER THAN JASON'S

2. IN 1998 KAREN'S SALARY WAS 2,400 GREATER THAN JASON'S

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Source: Beat The GMAT — Data Sufficiency | Mon Feb 08, 2010 3:28 am

shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Mon Feb 08, 2010 4:10 am

abhasjha wrote:JASON'S SALARY AND KAREN'S SALARY WERE EACH P PERCENT GREATER IN 1998 THAN IN 1995. WHAT IS THE VALUE OF P?

1. IN 1995 KAREN'S SALARY WAS 2,000 GREATER THAN JASON'S

2. IN 1998 KAREN'S SALARY WAS 2,400 GREATER THAN JASON'S

Ans is C

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harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Mon Feb 08, 2010 4:10 am

abhasjha wrote:JASON'S SALARY AND KAREN'S SALARY WERE EACH P PERCENT GREATER IN 1998 THAN IN 1995. WHAT IS THE VALUE OF P?

1. IN 1995 KAREN'S SALARY WAS 2,000 GREATER THAN JASON'S

2. IN 1998 KAREN'S SALARY WAS 2,400 GREATER THAN JASON'S

Let salary ke K and J resp in 95.
In 98 (P+100/P)xK and (P+100/P)xJ resp.
1:- K= 2000 + J .insuff.
2:-(P+100/P)xK =(P+100/P)xJ +2400 insuff

Combining, 2 eqns, 3 variables. insuff. E.

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ajith: Legendary Member; Posts: 1275; Joined: Thu Sep 21, 2006 11:13 pmFollowed by: 2 members; Location: Arabian Sea; Thanked: 125 times

by ajith » Tue Feb 09, 2010 3:17 am

abhasjha wrote:JASON'S SALARY AND KAREN'S SALARY WERE EACH P PERCENT GREATER IN 1998 THAN IN 1995. WHAT IS THE VALUE OF P?

1. IN 1995 KAREN'S SALARY WAS 2,000 GREATER THAN JASON'S

2. IN 1998 KAREN'S SALARY WAS 2,400 GREATER THAN JASON'S

Say initial salary of Jason was j and that of Karen was k

1. k-j = 2000 is not sufficient
2. k(1+p/100) - j(1+p/100) = 2400
=> (k-j) (1+p/100) = 2400
Insufficient

Combining, 2000*(1+p/100) =2400

good enough to find out p
C

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