Question
P and Q invested in a partnership with Rs.400 and Rs.700
respectively. After 4 months Q added Rs. 'x' more. If at the end of the year profit share of P is Rs.800 out of total profit of Rs.(9x - 100), then find the profit share of Q.Solution
ATQ,
ATQ, Investments: P invested Rs.400 for 12 months → Total = 400×12= 4800. Q invested Rs.700 for 4 months, then Rs.700+x for 8 months → Total = 700×4+(700+x)×8=8400+8x. Profit-sharing ratio: Profit share ∝ contribution: P:Q = 4800 : (8400+8x) Profit division: Total profit = 9x−100, and P's share = Rs.800: 
To calculate's Q's profit Share,
The total profit is = 9x − 100 = 9(300) − 100 = 2700 − 100 = 2600 P's profit is Rs.800, So, Q's profit is = 2600 − 800 =1800
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