A and B start a business with investments of Rs. 18,000 and Rs. 24,000, respectively. If the profit-sharing ratio is 3 : 4, determine the ratio of the time periods for which A and B invested.
Show answer & explanation
Correct answer: A
Explanation
Given:
A = 18,000, B = 24,000
Profit Ratio = 3 : 4
Let the time periods be t₁ (for A) and t₂ (for B).
18,000 × t₁ : 24,000 × t₂ = 3 : 4
(18,000 / 24,000) × (t₁ / t₂) = 3 / 4
(3 / 4) × (t₁ / t₂) = 3 / 4
t₁ / t₂ = 1
1 : 1