Question

Three persons A, B and C started a business with their shares in the ratio 3 : 4 : 5. After 4 months B withdrew his 50% share and C withdrew his 20% share 4 months prior to completion of the year. If total profit in the year is ₹ 31,000 then find the share of A in the profit.

• A. ₹ 7750
• B. ₹ 9000
• C. ₹ 9300
• D. ₹ 10330

Answer 1

Answer:

B. ₹ 9000

Solution: Given: A : B : C = 3 : 4 : 5 After 4 months B withdrew his 50% share and C withdrew his 20% share 4 months prior to completion of the year Total Profit = 31000 Concept: Invested amount and Period for investment gets multiplied to get the Profit ratio Calculation: Let the shares of A, B, and C be 3x, 4x, and 5x respectively Total share of A = 3x × 12 = 36x Total share of B = (4x × 4 ) + (2x × 8) = 16x + 16x = 32x The total share of C 5x for 8 month & 5x (1 - 20/100) = 4x for 4 month = (5x × 8) + (4x × 4) = 40x + 16x = 56x ∴ Profit ratio = 36 : 32 : 56 = 9 : 8 : 14 ⇒ Share of A in the profit = (9/31) × 31000 = 9000