'A' starts a business with Rs. 21000 and later 'B' joins him with Rs.36000 after how many months did B join if the profit is distributed in an equal ratio?
Answer & explanation
Correct answer: option 1
A : B
Inv. → 21000 : 36000
Inv. ratio → 7 : 12
Time → 12 : t
Profit → 1 : 1 (given)
Here,
(Profit = Inv. × time)
⇒ \(\frac{1}{1}\) = \(\frac{7\;×\;12}{12\;×\;t}\)
⇒ 12 t = 7 × 12
⇒ t = 7
Hence, B invest his capital for 7 months,
So, B joined after ( 12 - 7 ) = 5 Months