At the end of the financial year three partner A, B & C receive profit in the ratio of 24 ∶ 18 ∶ 15. If they have invested in the ratio of 8 ∶ 9 ∶ 10, then find the ratio of time in which they have invested the money in the corporation.?

Question

At the end of the financial year three partner A, B & C receive profit in the ratio of 24 ∶ 18 ∶ 15. If they have invested in the ratio of 8 ∶ 9 ∶ 10, then find the ratio of time in which they have invested the money in the corporation.?

6 ∶ 4 ∶ 3
24 ∶ 18 ∶ 15
8 ∶ 9 ∶ 10
5 ∶ 4 ∶ 2
5 ∶ 4 ∶ 3

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 1 : 6 ∶ 4 ∶ 3

Short trick:

8 × 3 = 24

9 × 2 = 18

10 × 1.5 = 15

Ratio of time = 3 : 2 : 1.5 = 30 : 20 : 15 = 6 : 4 : 3

Detailed solution:

Let A, B and C invested the money for time t₁, t₂ and t₃ respectively

Also, let profit of A, B and C be 24x, 18x and 15x, while Investment of A, B and C be 8y, 9y and 10y

Now,

⇒ Profit of A/Profit of B = (Investment of A × Time of investment of A)/(Investment of B × Time of investment of B)

⇒ 24x/18x = 8yt₁/9yt₂

⇒ t₁/t₂= 3/2

Similarly,

⇒ Profit of B/Profit of C = (Investment of B × Time of investment of B)/(Investment of C × Time of investment of C)

⇒ 18x/15x = 9yt₂/10yt₃

⇒ t₂/t₃= 2/1.5

Now, we have t₁/t₂= 3/2 and t₂/t₃= 2/1.5

⇒ t₁∶ t₂∶ t₃ = 3 ∶ 2 ∶ 1.5 = 6 ∶ 4 ∶ 3

At the end of the financial year three partner A, B &amp; C receive profit in the ratio of 24 ∶ 18 ∶ 15. If they have invested in the ratio of 8 ∶ 9 ∶ 10, then find the ratio of time in which they have invested the money in the corporation.?

1 Answers

Related Questions

At the end of the financial year three partner A, B & C receive profit in the ratio of 24 ∶ 18 ∶ 15. If they have invested in the ratio of 8 ∶ 9 ∶ 10, then find the ratio of time in which they have invested the money in the corporation.?