LIC AAO Model Paper 10

Question : 41 of 160

Marks: +1, -0

A and B started a business with initial investments in the respective ratio of 18 : 7. After four months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with v/hich A and B started the business ?

Rs. 50,000
Rs. 25,000
Rs. 1,50,000
Rs. 75,000
Rs. 1,25,000

Validate

Solution:

A’s initial investment = Rs. 18 x
B’s initial investment = Rs. 7x
According to the question,

{18x×4+(18x+2000)×8}/{7x×4+(7x+7000)×8}

2/1

⇒

{18x+(18x+2000)×2}/{7x+(7x+7000)×2}

2/1

⇒ 18x + 36x + 4000 = 28x+28000
⇒ 54x-42x= 28000-4000
⇒ 12x= 24000
⇒ x =

{24000}/{12}

= 2000
∴ Total intial investment of
A and B = 25x
= 25 x 2000 = Rs. 50000

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