A and B invested in a business in the ratio 5 : 6. The profit ratio was 10:9. If B invested his moeny for 12 months, for how many months did A invest?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 16 months.
Investment ratio = 5 : 6
Profit ratio = 10 : 9
Profit ∝ (Investment × Time)
⇒ 5 × x : 6 × 12 = 10 : 9
⇒ 5x : 72 = 10 : 9
⇒ 9 × 5x = 72 × 10
⇒ 45x = 720
⇒ x = 16 months
A invested for 16 months