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 INR 2000/- more and B invested INR 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 which A and B started the business

INR 50000/-
INR 25000/-
INR 150000/-
INR 75000/-
INR 125000/-
Explanation:

Let the initial investment of A = 18x

And initial investment of B = 7x

According to question,

18x×4+(18x+2000)×8/7x×4+(7x+7000)×8 = 2/1

⇒ 18x+(18x+2000)×2 = 2×[7x+(7x+7000)×2]

⇒ 9x+18x+2000 = 7x+14x+14000

6x = 12000

x=2000

∴ Total initial investments of A and B

= 18x+7x = 25x = 25×2000

= INR 50000

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A and B started a business with initial investments in the respective ratio of 18:7. After four mont