P and Q started a business. They made an annual
profit of `50000. Q being a working partner received
20% of the annual profit as his salary. If the entire
profits were divided in the ratio of their investments,
P would have received `8000 more as his profit
share than what he actually got. Find P’s actual
profit share (in `).
Answers
As a good rational approximation for the square root of two, with a reasonably small denominator, the fraction 99/70 (≈ 1.4142857) is sometimes used.
The sequence A002193 in the OEIS consists of the digits in the decimal expansion of the square root of 2, here truncated to 65 decimal places:
Answer:
32,000
Step-by-step explanation:
Total profit = 50,000
Q's salary = 20% of 50,000 = 10,000
If the profits were divided according to their investments then let P's investment be p and Q's investment be q then:
P and Q's investment ratios will be = p:q
Case 1: If Q wasn't given his salary then P's share would be =
(p x 50,000)/p + q
Case 2: If Q was given his salary which is 10,000 as calculated above then the total profit left would be 50,000 - 10,000 = 40,000 and P's share would be =
(p x 40,000)/p + q
According to the question: P's share without Q's salary (Case 1) would be 8000 more than P's actual share (Case 2) then:
[(p x 50,000)/p + q] = [(p x 40,000)/p + q] +8000
Solving the equation will give you the ratio of p:q as 4:1
P's actual share will be 4/5 x 40,000 as you would normally calculate the share of 2 people = 32,000