A and B started a joint business investing their
capitals in the ratio 3 : 5. After 6 months C joined
them with a capital equal to that of B. What will
be the ratio of their profits at the end of the year.
Answers
Step-by-step explanation:
Capitals in the ratio
A : B = 3 : 5
Consider,
Investment of A = 3x
Investment of B = 5x
Investment of C = 5x
As per the Question :
➠ A = 3x × 12 = 36x
➠ B = 5x × 12 = 60x
➠ C = 5x × 6 = 30x
➠ 36x : 60x : 30x
➠ 6 : 10 : 5
Ratio of Profit :
A : B : C
6 : 10 : 5
Answer:
The ratio of their Profit is 6 : 10 : 5
Step-by-step explanation:
Given :
• Investing Capitals of A : B in the ratio =
3 : 5
• After 6 months C joined them with a capital equal to that of B
To find :
• The ratio of their profits at the end of the year
Solution :
Ratio of Profit = Ratio of investment
A : B = 3 : 5
After 6 months C joined them with a capital equal to that of B
So,
A : B : C = 3 : 5 : 5
Let,
- A's Investment = 3x
- B's Investment = 5x
- C's Investment = 5x
⇒ A = 3x × 12 = 36x
⇒ B = 5x × 12 = 60x
⇒ C = 5x × 6 = 30x
★ Profit Ratio :
⇒ 36x : 60x : 30x
⇒ 6 : 10 : 5
Therefore,
The ratio of their Profit is 6 : 10 : 5