P, Q, and R enter into a partnership. P contributes one-fifth of the whole capital while Q contributes twice as much as P and R together contribute. If the profit at the end of the year is ₹555540, what is the difference (in ₹) of Q's share and the combined share of P and R in the profit?
P, Q, and R enter into a partnership. P contributes one-fifth of the whole capital while Q contributes twice as much as P and R together contribute. If the profit at the end of the year is ₹555540, what is the difference (in ₹) of Q's share and the combined share of P and R in the profit?
Solution
Total Profit: ₹ 5,55,540
Q contributes twice as much as P and R together.
P contributes of the capital (Note: This information is extra and not required to find the specific difference requested).
Since profit is distributed based on capital contribution, we look at the relationship between Q and the combined capital of P and R.
This can be written as a ratio:
| Entity | Share Ratio | Fraction of Total |
|---|---|---|
| Q | ||
| P + R | ||
| Total | 3 | 1 |
The difference between Q's share and the combined share of (P + R):
Therefore, the difference between Q's share and the combined share of P and R is ₹ 1,85,180.