- 5 : 6
- 7 : 6
- 5 : 8
- 6 : 5

Option 1 : 5 : 6

**Given:**

X invested Rs. 16000 for 4 months and Rs. 12000 for 8 months

Y invested Rs. 18000 for 8 months and Rs. 12000 for 4 months

**Formula Used:**

Ratio of Profit = Ratios of product of Amount invested and time

**Calculation:**

According to the question,

X invested Rs. 16000 for 4 months and Rs. 12000 for 8 months

Investment by X = 16000 × 4 + 12000 × 8 = 160000

Investment by Y = 18000 × 8 + 12000 × 4 = 192000

Ratio of their profits = 160000 : 192000

⇒ Ratio of their profits = 5 : 6

∴ Ratio of profits of X and Y after a year is 5 : 6

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