Given: Investment ratio of A and B is 9 ∶ 7
Ratio of their annual profit is 3 ∶ 2
Time period of A’s investment is 7 months
Concept: The ratio in which profit is obtained
⇒ (Investment of A × time period of A) ∶ (investment of B × time period of B)
Calculation: Let, the investment made by A is 9x and by B is 7x
And also let the time period of B is y(Investment of A × time period of A) ∶ (investment of B × time period of B)
⇒ (9x × 7) ∶ (7x × y)
Now comparing the ratio with the given ratio of their profit
⇒
[]=() ⇒
(9x×7)×2=(7x×y)×3 ⇒
(18x×7)=(21xy) ⇒
y= ⇒
y=6 ∴ Time period of Investment of B = 6 months