Question
‘P’ and ‘Q’ entered into a business by investing
Rs. ‘y’ and Rs. ‘y – 400’, respectively. If their combined annual profit amounts to Rs. 84,000 and the share of ‘P’ in the profit is Rs. 48,000, find the initial investment made by ‘Q’.Solution
ATQ,
Ratio of profit share of ‘P’ and ‘Q’ respectively = {(y × 12):(y – 400) × 12} = (12y):(12y – 4800)
ATQ;
{12y/(24y – 4800)} = (48000/84000)
Or, 21y = 24y – 4800
Or, 4800 = 3y
Or, y = 1600
So, initial investment made by ‘Q’ = 1600 – 400 = Rs. 1200
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