Question

2. A started a business investing Rs. 2700. After sometime B joined him by
investing Rs. 2025. At the end of 1 year, the profit was divided in the ratio of 2:1.
After how many months did B joined the business?
(A) 4 months
(B) 6 months (C) 3 months
(D) 2 months​

Answer 1

Step-by-step explanation:

A started a business investing Rs. 2700. After sometime B joined him by

investing Rs. 2025. At the end of 1 year, the profit was divided in the ratio of 2:1.

After how many months did B joined the business?

(A) 4 months

(B) 6 months (C) 3 months

(D) 2 months

Answer 2

B joined the business after 4 months (option A is the correct answer)

Given,

A started a business investing Rs. 2700,

B joined him by investing Rs. 2025;

At the end of 1 year, the profit was divided in the ratio of 2:1.

To Find,

We have To Find after how many months did B joined the business

Solution,

According to the question,

A started a business investing Rs. 2700

and, at the end of 1 year, the profit was divided in the ratio of 2:1.

Now, Let us Consider that the investment time of B is x.

so,

$\frac{Investment amount of A * time of investment }{Investment amount of B * time of investment} = \frac{Profit of A }{Profit of B }$

$or, \frac{2700*12}{2025*x} = \frac{2}{1}$

$2*( 2025*x)= 2700*12 \\or, 2025*x = \frac{32400}{2}\\or, 2025x= 16200\\or, x= 8$

Now, B was there in the business for 8 months

=> B joined after (12 - 8) = 4 months

Hence, B joined the business after 4 months

#SPJ2