Partnership Ques 15

Question

A started a business with an investment of Rs. 12,000. At the end of six months from the start of the business, A withdrew half of his initial investment and B and C invested in the ratio of 10:9 respectively. If A’s share in annual profit of Rs. 14,000 was Rs. 4500 , what was the investment made by B ?

(1) Rs. 20,000

(2) Rs. 25,000

(3) Rs. 10,000

(4) Rs. 18000

(5) Rs. 35000

(IBPS SO (Agriculture) Exam, 29.01.2017)

Show Answer

Answer: (1)

Solution: (1)

B’s investment = Rs. $10 x$

C’s investment $=$ Rs. $9 x$

Profit ratio of A, B and C $=(12000 \times 6+6000 \times 6): 10 x \times$ $6: 9 x \times 6$

$=(72000+36000): 60 x: 54 x$

$=108000: 60 x: 54 x$ $=18000: 10 x: 9 x$

$\therefore$ A’s share $=\frac{18000}{19 x+18000} \times 14000$ $=4500$

$\Rightarrow 19 x+18000=56000$

$\Rightarrow 19 x=56000-18000=38000$

$\Rightarrow x=\frac{38000}{19}=2000$

$\therefore$ B’s investment $=10 \times 2000=$ Rs. 20000