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A and B invests Rs. 40000 and Rs. 25000 respectively. After 4 months D joins the partnership with investment of Rs. 15000. After another 1 month, A removes Rs. 10000 while B adds more Rs. 15000 to investment. At the end of the year the total share of D in profit is Rs. 21600. What is the average profit share of A and B?

A and B invests Rs. 40000 and Rs. 25000 respectively. After 4 months D joins the partnership with investment of Rs. 15000. After another 1 month, A removes Rs. 10000 while B adds more Rs. 15000 to investment. At the end of the year the total share of D in profit is Rs. 21600. What is the average profit share of A and B? Correct Answer Rs. 73350

Given,

Ratio of profit share of A, B and D

= (40000 × 5 + 30000 × 7) : (25000 × 5 + 40000 × 7) : (15000 × 8)

= 410000 : 405000 : 120000 = 82 : 81 : 24

Given,

Total share of D = Rs. 21600

Total profit = 21600 × (82 + 81 + 24)/24 = 900 × 187 = 168300

Total profit of A and B = 168300 × (82 + 81)/187 = 146700

Average Profit share of A and B = 146700/2 = 73350

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