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

Related Questions