Question 127

In a business partnership among A, B, C and D, the profit is shared as follows:
$$\frac{\text{A's share}}{\text{B's share}}$$ = $$\frac{\text{B's share}}{\text{C's share}}$$ = $$\frac{\text{C's share}}{\text{D's share}}$$ = $$\frac{1}{3}$$
If the total profit is 4,00,000, the share of C is

Solution

$$\frac{\text{A's share}}{\text{B's share}}$$ = $$\frac{\text{B's share}}{\text{C's share}}$$ = $$\frac{\text{C's share}}{\text{D's share}}$$ = $$\frac{1}{3}$$

$$\frac{\text{A's share}}{\text{B's share}}$$ = $$\frac{1}{3}$$ i.e. A = $$\frac{1}{3}$$B

$$\frac{\text{B's share}}{\text{C's share}}$$ = $$\frac{1}{3}$$ i.e. B = $$\frac{1}{3}$$C

$$\frac{\text{C's share}}{\text{D's share}}$$ = $$\frac{1}{3}$$ i.e. D = $$\frac{3}{1}$$C

If the total profit is 4,00,000 , then A+B+C+D = 400000
$$\frac{1}{3}\times\frac{1}{3}$$C + $$\frac{1}{3}$$C + $$\frac{3}{1}$$C = 400000

C = 90000






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