Question
P and Q started a venture by investing Rs. 7000 and Rs.
5000 respectively. After 6 months, R joined with an investment equal to the average of P and Q. Meanwhile, P took out 30% of his capital. At the end of the year, they made a total profit of Rs. 21420. Find the share of profit earned by R.Solution
ATQ,
Investment of R = (7000 + 5000)/2 = Rs. 6000
Ratio of investment:
P : Q : R = 7000 : 5000 : 6000 = 7 : 5 : 6
Ratio of profit share:
P : Q : R = (7 × 6 + 4.9 × 6) : (5 × 12) : (6 × 6)
= (42 + 29.4) : 60 : 36
= 71.4 : 60 : 36
Multiply all by 10 to remove decimal:
= 714 : 600 : 360
Simplify by dividing by 6:
= 119 : 100 : 60
Therefore, profit share of R = [60 / (119 + 100 + 60)] × 21420 = (60 / 279) × 21420 = Rs. 4600
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