Answer 1

Let ‘x’ be the time in months for which Lalit invested his money

Jatin and Lalit invested their money in the ratio 11 : 12.

Jatin invested his money for 8 months and the ratio of their profits is 2 : 3.

∴ 11 × 8 : 12 × x = 2 : 3

∴ `88/(12"x") = 2/3`

x = `(88 xx 3)/(2 xx 12)`

∴ x = 11

∴ Lalit invested his money for 11 months.