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Rama and Kishor start a business with initial investments in the ratio
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Bunuel
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Rama and Kishor start a business with initial investments in the ratio [#permalink] New post  08 Feb 2021, 06:15
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Rama and Kishor start a business with initial investments in the ratio 6 : 5. Their annual profits were in the ratio 9 : 5. If Rama invested the money for9 months, how many months did Kishor invest the money for ?

(A) 8 months
(B) 6 months
(C) 5 months
(D) 4 months
(E) 3 months
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ashimakumari
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Re: Rama and Kishor start a business with initial investments in the ratio [#permalink] New post  11 Feb 2021, 09:26
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6 x y by 5 x9 = 9/5

Is that it?

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Dashingnightmare
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Re: Rama and Kishor start a business with initial investments in the ratio [#permalink] New post  11 Feb 2021, 12:54
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B.
Initial investment= 6:5
Let time=x:y
Profit =9:5
So, 6*x:5*y=9:5 => x:y=3:2
As per question x=9, hence y=6
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sthahvi
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Re: Rama and Kishor start a business with initial investments in the ratio [#permalink] New post  14 Feb 2021, 03:24
Dashingnightmare wrote:
B.
Initial investment= 6:5
Let time=x:y
Profit =9:5
So, 6*x:5*y=9:5 => x:y=3:2
As per question x=9, hence y=6


this may be a stupid question and I may be missing something but how did you calculate the the ratio by doing 9/6 ? if so then is 5/5 not taken coz it does not give a ratio ?
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jrk23
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Re: Rama and Kishor start a business with initial investments in the ratio [#permalink] New post  14 Feb 2021, 10:26
Bunuel wrote:
Rama and Kishor start a business with initial investments in the ratio 6 : 5. Their annual profits were in the ratio 9 : 5. If Rama invested the money for9 months, how many months did Kishor invest the money for ?

(A) 8 months
(B) 6 months
(C) 5 months
(D) 4 months
(E) 3 months


Not able to understand how to solve. Anyone plz explain the logic.
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Dashingnightmare
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Re: Rama and Kishor start a business with initial investments in the ratio [#permalink] New post  14 Feb 2021, 22:35
sthahvi wrote:
Dashingnightmare wrote:
B.
Initial investment= 6:5
Let time=x:y
Profit =9:5
So, 6*x:5*y=9:5 => x:y=3:2
As per question x=9, hence y=6


this may be a stupid question and I may be missing something but how did you calculate the the ratio by doing 9/6 ? if so then is 5/5 not taken coz it does not give a ratio ?


Let me further simplify for explaination,
Ratio of Profit=(Ratio of investment)*(Ratio of time)
Ratio of profit is given : 9/5
Ratio of investment is given : 6/5
Ratio of time we have to find.(Rama invested for 9 months, kishore we do not know ,let kishore's time be x)
So, 9/5=(6/5)*(9/x) , solving will give you x=6.

For your 2nd question,
5/5 is taken
(5/5 will give you 1 and multiplying or dividing by 1 wont affect the ratio).


Hope it helps. :)
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