Partnership Ques 24

Question

$A, B$ and $C$ invested in a business in the ratio $6: 8: 9$. $B$ invested for a period whose numerical value is $112.5 \%$ of A’s investment but $A$ and $C$ invested for one year. If profit of $B$ at the end of the year is Rs. 16750 then what is the share of $C$ in the annual profit? (In Rs.)

(1) 20225

(2) 22,125

(3) 25,225

(4) 25,125

(5) 23125

(IBPS Bank PO/MT CWE-VII (Prelim Exam) 15.10.2017)

Show Answer

Answer: (4)

Solution: (4)

Period of $B$’s investment $=\frac{8 \times 112.5}{100}=9$ months

$\therefore$ Profit ratio of A, B and C $=6 \times 12: 8 \times 9: 9 \times 12$ $=2: 2: 3$

$\therefore$ B’s share $=$ Rs. 16750

$\therefore$ C’s share is 1000 $=$ Rs. $\left(\frac{3}{2} \times 16750\right)=$ Rs. 25125