Partnership Ques 21
Question
$A$ and $B$ started a business. $B’$s investment was 2.5 times that of $A$. The respective ratio between the time period for which $A$ invested and that for which $B$ invested was $3: 1$. If the total investment made by $A$ and $B$ together was Rs. 28,000 and the annual profit earned was Rs. 2500 less than $A’$s investment, what was the difference between $A’$s share and $B’$s share in the annual profit?
(1) Rs. 200
(2) Rs. 800
(3) Rs. 500
(4) Rs. 400
(5) Rs. 650
(Canara Bank PO Exam 04.03.2018)
Show Answer
Answer: (3)
Solution: (3)
According to the question,
$A’$s investment $=$ Rs. $x$
$\therefore$ B’s investment $=$ Rs. $2.5 x$
$\therefore x+2.5 x=$ Rs. 28000
$\Rightarrow 3.5 x=28000$
$\Rightarrow x=\frac{28000}{3.5}=$ Rs. 8000
$\therefore$ B’s investment $=$ Rs. $(2.5 \times 8000)$ $=$ Rs. 20000
$\therefore$ Profit ratio of A and B $=8000 \times 3: 20000 \times 1$ $=6: 5$
Annual profit $=8000-2500$ $=$ Rs. 5500
$\therefore$ Difference of shares $=$ Rs. $(\frac{6-5}{6+5} \times 5500)$
$=$ Rs. $(\frac{1}{11} \times 5500)=$ Rs. 500
BETA
