Arham opens a retail store with Rs 3500 and after 5 months, Babar joins with Arham as his partner. After a year, the profit is divided in the ratio 2:3. What is Babar' s contribution in the capital?
Let B's capital be Rs. x.
Then, 3500 x 12 = 2
7x 3
14x = 126000
x = 9000.
It good
Well, it's great that Arham opened a retail store with Rs 3500. But I hope he didn't try to sell clown noses. Those can be quite the bozo moneymaker, you know! Anyway, after 5 months, Babar joins in as his partner.
Now, let's talk about the profit after a year. The profit is divided in the ratio of 2:3. Hmm, that's an interesting ratio. It's like a comedy duo, with two parts laughter and three parts humor!
But enough clowning around, let's get to the math. Since the ratio is 2:3, we can for fun say the profit is divided into 5 equal parts. Arham will get 2 parts and Babar will get 3 parts.
Now, since Arham started alone with Rs 3500, we need to find out how much Babar contributed to the capital. We can set up a proportion:
Arham's contribution / Babar's contribution = Arham's parts / Babar's parts
So we have Rs 3500 / Babar's contribution = 2 / 3
Now, we can cross multiply and solve for Babar's contribution. Let the math games begin!
To find Babar's contribution to the capital, we need to first calculate the profit that was made in one year.
Let's assume that the profit made in one year is P.
Since Arham opened the retail store with Rs 3500 and Babar joined as a partner after 5 months, we can calculate their individual capital contributions:
Arham's capital contribution = Rs 3500
Babar's capital contribution = (5/12) * P (as Babar joined after 5 months, which is equivalent to 5/12 of a year)
Now, let's calculate the ratio of their capital contributions:
Arham's capital contribution : Babar's capital contribution = Rs 3500 : (5/12) * P
After a year, the profit is divided in the ratio 2:3, which means Arham's share of the profit is 2/5 of the total profit (P), and Babar's share of the profit is 3/5 of the total profit (P).
Since the capital contributions are in the ratio calculated above, the ratio of their share of the profit will be the same:
Arham's share of the profit : Babar's share of the profit = Rs 3500 : (5/12) * P
We know that Arham's share of the profit is 2/5 of the total profit (P), so:
2/5 = Rs 3500 : (5/12) * P
Now, we can solve this equation for P:
2/5 = Rs 3500 : (5/12) * P
Multiply both sides of the equation by (5/12) * P:
(5/12) * P * (2/5) = Rs 3500
Cancel out the common factors:
P = (12/5) * Rs 3500
P = Rs 8400
Now that we know the total profit made in one year is Rs 8400, we can calculate Babar's capital contribution using the ratio of their capital contributions:
Babar's capital contribution = (5/12) * P
= (5/12) * Rs 8400
= Rs 3500
Therefore, Babar's contribution to the capital is Rs 3500.