# The ratio of investments of two partners Jatin and Lalit is 11:12 and the ratio of their profits is 2 : 3. If Jatin invested the money for 8 months, find for how much time Lalit invested his money. - Mathematics and Statistics

Sum

The ratio of investments of two partners Jatin and Lalit is 11:12 and the ratio of their profits is 2 : 3. If Jatin invested the money for 8 months, find for how much time Lalit invested his money.

#### Solution

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.

Concept: Partnership
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 9 Commercial Mathematics
Exercise 9.5 | Q 6 | Page 134