How many months

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raviraushanjha: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Sat Jan 02, 2010 6:59 pm

by raviraushanjha » Mon Jan 04, 2010 10:53 pm

Ram and Shyam started a business with some investment. Ram invested 36% of the total investment and received 9/17th part of the total profit at the end of the year. If Ram stayed in the business throughout the year, for how many months did Shyam invest his amount?

(A) 6
(B) 7
(C) 8
(D) 9

Answer : A

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Source: Beat The GMAT — Problem Solving | Mon Jan 04, 2010 10:53 pm

thephoenix: Legendary Member; Posts: 1560; Joined: Tue Nov 17, 2009 2:38 amFollowed by: 5 members; Thanked: 137 times

by thephoenix » Mon Jan 04, 2010 11:44 pm

for ram

Principle amnt=.36x
time=12 mnths
rate=r
profit(int)=9/17 (y)

eqn 1

9y/17=(0.36 x * 12 * r)/100------>r=9y/17 * 10000/(36x * 12)

for shyam

P amnt= 0.64 x
time=t
rate=r=9y/17 * 10000/(36x * 12)
I=8/17 (y)

eqn
8y/17= 0.64 x * t * [9y/17 * 10000/(36x * 12) ]/100

solving t=6

Hence A

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dtweah: Master | Next Rank: 500 Posts; Posts: 487; Joined: Fri Mar 27, 2009 5:49 am; Thanked: 36 times

by dtweah » Tue Jan 05, 2010 6:14 am

raviraushanjha wrote:Ram and Shyam started a business with some investment. Ram invested 36% of the total investment and received 9/17th part of the total profit at the end of the year. If Ram stayed in the business throughout the year, for how many months did Shyam invest his amount?

(A) 6
(B) 7
(C) 8
(D) 9

Answer : A

I ( profit) = PRT
For R,

9P/17 =.36P x R x 1

R= 25/17

For S,

8P/17 =.64P x 25/17 x T

8=16T
T = 1/2 which is 6 months.
Choose A.

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mmslf75: Legendary Member; Posts: 503; Joined: Sun Aug 09, 2009 9:53 pmFollowed by: 2 members; Thanked: 31 times

by mmslf75 » Tue Jan 05, 2010 8:34 am

dtweah wrote:
raviraushanjha wrote:Ram and Shyam started a business with some investment. Ram invested 36% of the total investment and received 9/17th part of the total profit at the end of the year. If Ram stayed in the business throughout the year, for how many months did Shyam invest his amount?

(A) 6
(B) 7
(C) 8
(D) 9

Answer : A
I ( profit) = PRT
For R,

9P/17 =.36P x R x 1

R= 25/17

For S,

8P/17 =.64P x 25/17 x T

8=16T
T = 1/2 which is 6 months.
Choose A.

Good question!! that hinges on Intereset Profit principle

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