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How many months

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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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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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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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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