collection of tough problems from G PREP - 35

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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
Source: — Data Sufficiency |

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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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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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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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