A B and C invested money in the ratio of 1 2 1 3 1 5 in a business After 4 months A doubled his inve...........

Quantitative Aptitude ( CCS) Partnership

A, B and C invested money in the ratio of 1/2:1/3:1/5 in a business. After 4 months. A doubled his investment and after 6 months B halves his investment. If the total profit at the end of year be Rs. 34650 then find the share of each in profit.

Rs. 20,000, Rs. 25,000, Rs. 18,000

Rs. 15,500, Rs. 27, 200, Rs. 20,450

Rs. 22,500, Rs. 6750, Rs. 5400

Rs. 10350, Rs. 21,540, Rs. 12,050

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Explanation:

Ratio of Capital invested by A, B and C = 15 : 10 : 6
Total Capital invested by A in 1 year = 15x × 4 + 30 x × 8 = 300 x
Total capital invested by B in 1 year = 10x × 6 + 5x × 6 = 90x
Total capital invested by C in 1 year = 6x × 12 = 72x
Ratio of profits
A : B : C
300x : 90x : 72x
50 x : 15 x : 12x
According to the question,
(50x + 15x + 12x) = Rs. 34,650
77 x = Rs. 34,650
x = Rs. 34,650 / 77 = Rs. 450
Profit of A = Rs. 450 × 50 = Rs. 22,500
Profit of B = Rs. 450 × 15 = Rs. 6,750
Profit of C = Rs. 450 × 12 = Rs. 5,400