A B and C started a business in partnership and invested in the ratio of 1 4 1 3 1 6 After 4 months ...........

Quantitative Aptitude ( CCS) Partnership

A, B and C started a business in partnership and invested in the ratio of 1/4:1/3:1/6. After 4 months A withdraw half of his investment and after its 2 months B withdraws 1/3 of its investment. If the total earned profit at the end of year is Rs. 14,000. Find the share of their profit

Rs.1500, Rs.2450, Rs. 2145

Rs.3000, Rs.4500, Rs.2100

Rs.4000, Rs.3500, Rs.1254

Rs.4200, Rs.5600, Rs.4200

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Explanation:

A : B : C = 1/4 : 1/3 : 1/6
Ratio of shares of A, B and C
A : B : C
Capita→ 3x : 4x : 2x
Total capital invested by A in 1 year = 3x × 4 + 5x × 8 = 24 x
Total capital invested by B in 1 year = 4x + + 5x/3×6 = 32x
Total capital invested by C in 1 year = 2x × 12 = 24x
A : B : C
Capital → 24x : 32x : 24x
3x : 4x : 3x
According to the question ,
(3x+4x+3x) = 14000
10x = 14000
x = 1400
Hence, Profit of A = 1400 × 3 = Rs. 4200
Profit of B = 1400 × 4 = Rs. 5600
Profit of C = 1400 × 3 = Rs. 4200