Three partners A B and C invested in the ratio of 5 4 4 5 6 5 in a business After 3 months A increas...........

Quantitative Aptitude ( CCS) Partnership

Three partners A, B and C invested in the ratio of 5/4:4/5:6/5 in a business. After 3 months A increased his capital by 50% if the total profit of Rs. 35,700 earned at the end of year ,Find what was the A’s share of profit?

Rs. 12,000

Rs. 16,500

Rs. 13,000

Rs. 15,600

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Explanation:

A : B : C
Capital → 25 x : 16x : 24x
Total capital of A in 1 year = 25x × 3 + (37.5x) × 9 = 75x + 337.5x = 412.5 x
Total capital of B in 1 year = 16x × 12 = 192x
Total capital of C in 1 year = 24 × 12x = 288x
A : B : C
Capital → 412.5x : 192x : 288x
According to the question,
(412.5x + 192x + 288x) = 35700
= 35700/892.5 = Rs. 40
Hence, Share of A = 412.5 × 40 = Rs. 16500