A, B and C start a business with capital of Rs.8,00,000 , Rs.12,00,000 and Rs.15,00,000 respectively. A is working partner and takes 12\(\frac{1}{2}\)% of total profit as salary. If A received Rs. 5200 from the business as a profit then find the amount of total profit.
Answer & explanation
Correct answer: option 2
A : B : C
Inv. : 800000 : 1200000 : 1500000
8 : 12 : 15
Profit: 8 : 12 : 15 = 35R ......(i)
*If time is same then investment ratio becomes profit ratio*
Now, ATQ
⇒ 12\(\frac{1}{2}\) % profit taken by A and remaining 87\(\frac{1}{2}\)% (i.e. = 35R) is divided according to their profit ratio.
So,
12\(\frac{1}{2}\)% = \(\frac{1}{8}\) = \(\frac{5}{40}\)
⇒ Remaining = \(\frac{7}{8}\) = \(\frac{35}{40}\) ....(ii)
Compare (i) with (ii):
A : B : C ⇒ 87\(\frac{1}{2}\)% : 12\(\frac{1}{2}\) %(A) : Total
Profit: 8 : 12 : 15 ⇒ 35 : 5 : 40
Hence,
A's total profit = 8R + 5R = 13R = 5200
⇒ 1R = 400
⇒ Total Profit = 40R = 40 × 400 = Rs.16000