Partnership Ques 40
Question
‘A’ began a small business with a certain amount of money. After four months from the start of the business, ‘B’ joined the business with an amount which was Rs. 6,000 less than ‘A’s initial investment. ’ C ’ joined the business after seven months from the start of business with an amount which was Rs. 2,000 less than A’s initial investment. At the end of the year total investment reported was Rs. $1,42,000$. What will be A’s share in the profit, if B received Rs. 8,000 as profit share? (in Rupees)
(1) Rs. 48,000
(2) Rs. 46,500
(3) Rs. 46,000
(4) Rs. 42,000
(5) Rs. 48,500
(BOB Junior Management Grade/Scale-I Exam. 18.04.2015)
Show Answer
Answer: (1)
Solution: (1)
Let initial investment of A be Rs. $x$
Total investment at the end of year
$=12 x+8(x-6000)+5(x- 2000)$
$=12 x+8 x+5 x-48000-10000$
$= Rs. (25 x-58000)$
$\therefore 25 x-58000=142000$
$\Rightarrow 25 x=142000+58000$ $=200000$
$\Rightarrow x=\frac{200000}{25}=$ Rs. 8000
Ratio of profit sharing for A, B and C
$=(12 \times 8000):(8 \times 2000):(5 \times 6000)$
$=96000: 16000: 30000$
$=48: 8: 15$
$\therefore$ B’s share $=$ Rs. 8000
$\therefore$ A’s share $=\frac{48}{8} \times 8000=$ Rs. 48000
BETA
