Correct Answer - Option 1 : 11 months
Given:
Sunil and Naveen invested some money in a business in the ratio = 11 : 12
Sunil invested the money for = 8 months
The profit was shared by Sunil and Naveen in the ratio = 2 : 3
Concept used:
The profit ratio always equal to the investment ratio.
Calculation:
Sunil and Naveen invested some money in a business in the ratio = 11 : 12
Sunil invested the money for = 8 months
Let the time Naveen invested for be y
∴ Required equation:
⇒ (11x × 8)/(12x × y) = 2/3
⇒ 88x × 3 = 12xy × 2
⇒ 88x = 8xy
⇒ y = 11 months
∴ Naveen invested the money for 11 months.
