P invested Rs. 4000 for one year. Q joined him with an investment of Rs. 6000 after few months. If at the end of one year the ratio of profits of P and Q is 4 : 3. then Q joined after how many months ?
Answer & explanation
Correct answer: option 4
Formula :-
The ratio of profit sharing = Ratio of (Investment × Time)
Since P invested for 12 months, Q invested for x months .
Ratio of their profit = 4 : 3
\(\frac{ (4000 × 12)}{(6000 × x)}\) = \(\frac{4}{3}\)
36 = 6x
x = 6
So , Q joined after 6 months .