Question
Raju, Shyam and Baburao entered into a partnership with
the initial capital of Rs. (X + 2000), Rs. (X + 10000) and Rs. 28000, respectively. After three months, Raju withdrew (2/3)rd of his initial capital, Shyam withdrew half of his initial capital and Baburao invested Rs. 4000 more. Shyam being active partner gets 20% of the total profit as extra amount and rest profit is shared among them in the ratio of their investment. If the annual profit share of Baburao is Rs. 13950 and total annual profit earned is Rs. 40500, then find the value of ‘’25% of X’’.Solution
Profit share ratio of Raju, Shyam and Baburao, respectively = [3(X + 2000) + 9(X + 2000)/3]:[3(X + 10000) + 9(X + 10000)/2]:[(28000 × 3) + (32000 × 9)] = (3X + 6000 + 3X + 6000):(3X + 30000 + 4.5X + 45000):(84000 + 288000) = (6X + 12000):(7.5X + 75000):372000 Total profit share = Rs. 40500 Extra profit share of Q = 40500 × 20% = Rs. 8100 Remaining profit share = 40500 – 8100 = Rs. 32400 Profit share of Baburao = 372000/(6x + 12000 + 7.5X + 75000 + 372000) 13950/32400 = 372000/(13.5X + 459000) 155/360 = 124000/(4.5X + 153000) 31/72 = 124000/(4.5X + 153000) 31(4.5X + 153000) = 72 × 124000 31(0.5X + 17000) = 8 × 124000 0.5X + 17000 = 8 × 4000 0.5X = 32000 - 17000 X = 15000/0.5 X = 30000 25% of X = 1/4 x 30000 = 7500
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