a invested Rs.76000 in a business. After few months, B joined him with Rs.57000 At the end of the year the total profit was divided between them in the ratio 2 : 1. After how many months did B join
(1) 4 month
(2) 6 month
(3) 8 month
(4) 3 month
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Solution
Solution:
Assume that B joins for x months . Then:
A : B = 76000*12 : 57000*x = 2:1
or, 76*12 : 57x = 2:1
or, 76*12/57x = 2/1 = 2
or, x = 76*12/57*2
or, x = 8
Hence B was there in the business for 8 months, or joined after 12-8 = 4 months.