Question
'X', 'Y' and 'Z' jointly opened a company by investing Rs.
2,400, Rs. 3,600, and Rs. 4,800 respectively. After 4 months, 'Y' withdrew Rs. 600. If the total profit at the end of the year was Rs. 3,220, find the profit share of 'X'.Solution
ATQ,
Ratio of profit shares of 'X', 'Y', and 'Z' at the end of one year = (2400 × 12) : {(3600 × 4) + (3000 × 8)} : (4800 × 12)
= 28800 : (14400 + 24000) : 57600
= 28800 : 38400 : 57600
= 3 : 4 : 6
So, profit share of 'X' = 3220 × (3/13) = Rs. 744
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