A and B started a partnership business investing some amount in the ratio of 5 : 6. C joined them after 6 months with an amount equal to 2/… — Answer & Discussion

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A and B started a partnership business investing some amount in the ratio of 5 : 6. C joined them after 6 months with an amount equal to 2/3^rd of B. What was their total proﬁt (in Rs) at the end of the year, if C got Rs 21, 600 as his share?

A46800
B56160
C70200
D140400

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Discussion 1

CCommunity21 May 2019

We know that,

Share ∝ Time × Investment

⇒ Money invested by C = (2/3) × 6 = 4

⇒ Time = 6 months = 1/2 year

⇒ Share for C = k × 4 × 1/2

⇒ 2k = 21600

⇒ k = 10800

⇒ Total profit = Σ(Time × Investment) × k = {(5 × 1) + (6 × 1) + (4 × 1/2)} × k

⇒ 10800 × 13 = Rs 140400