PARTNERSHIP [साझेदारी] - 01

[SBI PRE - 21/06/2015]

Question: A has started a business with Rs. 4500.  B joins the business with A after 4 months and C after 8 months. If the profits are distributed after one year in the ratio of 9 : 6 : 4; then find the capital of C. [A ने 4500 रूपये के साथ एक व्यापार प्रारंभ किया; जिसमें 4 महीने के बाद B और 8 महीने के बाद C भी शामिल हो गए. यदि एक वर्ष के बाद हुए लाभ को उन्होंने 9 : 6 : 4 के अनुपात में बाँट लिया, तो बताएं कि C की पूँजी कितनी थी?]  [Ans. Rs 6000]

Detailed explanation: “Profits are always distributed in the ratio of the capitals, other conditions are the same” – This is the base line of the chapter “PARTNERSHIP.” If the timing are not the same, the profits are distributed in the ratio of the products of corresponding “capital” and “timing”.

Given that A has started a business with Rs. 4500 and remained at the end of the business, that is, for 12 months.  B joins the business with A after 4 months, so he remained in the business for last 8 months. Also C joins after 8 months, so he remained for last 4 months.

Ratio of timings of A, B and C = 12 : 8 : 4 = 3 : 2 : 1

Ratio of profits of A, B and C = 9 : 6 : 4

Ratio of capitals of A, B and C = (9/3) : (6/2) : (4/1) = 3 : 3 : 4

(A’s capital) 3 ≡ Rs 4500

(C’s capital) 4 ≡ ? = Rs 6000 Ans.