Question

Ramu invested Rs 20000 in a business after new
months.
At the
Appu Joined him with us 30000
profit was
end of the year the total
devided
between then in ratio 4:1 After How many
months did ramu join business.
​

Answer 1

After three months of ramu he joined

Answer 2

Answer:

9 months.

Given:

Ramu's investment = 20,000.

Appu's investment = 30,000

Ratio of profit = 4:1

To Find:

After How many months did Ramu join business.

Step-by-step explanation:

Now,

Share of Ramu in the business will be 20,000 × 12

Let after x months Appu joined the business.

So, Share of Ramu in the business will be 30,000 × (12 - x)

Ratio of share = 3,60,000/ (3,60,000 - 30,000x)

Now, Ratio of share = Ration of profit

⇒ 3,60,000/ (3,60,000 - 30,000x) = 4/1     {Given}

⇒ 3,60,000 = 4 × (3,60,000 - 30,000x)

⇒ 3,60,000 =   (14,40,000 - 1,20,000x)

⇒ 1,20,000x = 14,40,000 - 3,60,000

⇒ 1,20,000x = 10,80,000

⇒ x = 10,80,000/1,20,000

⇒ x = 9

Hence, after 9 months Appu joined the business.

#SPJ2