A, B, and C are partners. A invested Rs. 20,000 in business for 't' months. B invested Rs. 30,000 for 4 months less than the period invested by A and C invested Rs. 60,000 for 2 months less than the period invested by B. Their profit sharing ratio is 2 : 2 : 3. Find the number of months for which each partner has invested in the business respectively.
A, B, and C are partners. A invested Rs. 20,000 in business for 't' months. B invested Rs. 30,000 for 4 months less than the period invested by A and C invested Rs. 60,000 for 2 months less than the period invested by B. Their profit sharing ratio is 2 : 2 : 3. Find the number of months for which each partner has invested in the business respectively. Correct Answer 12; 8 and 6 months
Given:
Amounted invested by A = Rs. 20,000
Amount invested by B = Rs. 30,000
Amount invested by C = Rs. 60,000
Calculation:
20,000(t) : 30,000(t – 4) : 60,000(t – 4 – 2) = 2 : 2 : 3
⇒ = 2 / 2
⇒ = 1
⇒ 2t = 3t – 12
t = 12 months
B invested for 8 months
C invested for 6 months
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Feb 20, 2025