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