A, B and C entered into a partnership with the capital of Rs. 60,000/- , Rs. 50,000/- and Rs.70,000/- resp. If C joins x months after starting of the year and A leaves them y month before end of the year then they share the profit in the ratio of 18 : 20 : 21. Find the value of x and y.
Answer & explanation
Correct answer: option 2
A : B : C
Profit : 18 : 20 : 21
Invs. : 6 : 5 : 7
Time: 3 : 4 : 3 .............(i)
B invest for 12 months, therefore, (i) multiply by 3
Time: 9 : 12 : 9
Now,
C invest for 9 months out of 12 months, it means C join the business 3 months after the starting.
Hence, x = 3 and
A invest for 9 months out of 12 months, it means A leaves them 3 months before the end of the year.
Hence, y = 3