Partnership Ques 41
Question
$A, B$ and $C$ started a business by investing Rs. 20,000 Rs. 28,000 and Rs. 36,000 respectively. After 6 months, $A$ and $B$ withdrew an amount of Rs. 8,000 each and $C$ invested an additional amount of Rs. 8,000. All of them invested for equal period of time. If at the end of the year, C got Rs. 12,550 as his share of profit, what was the total profit earned?
(1) Rs. 25,100
(2) Rs. 26,600
(3) Rs. 24,300
(4) Rs. 22,960
(5) Rs. 21,440
(IBPS RRBs Officer Scale-I & II CWE 12.09.2015)
Show Answer
Answer: (1)
Solution: (1)
Profit ratio of A , B and C $=(20000 \times 6+12000 \times 6):$ $(28000 \times 6+20000 \times 6):(36000$ $\times 6+44000 \times 6)$
$=(120+72):(168+120):(216$ $+264)$
$=192: 288: 480=2: 3: 5$
Sum of the ratios $= 2+3+5 = 10$
If the total profit at the end of the one year be 10 unit, then
C’s share = 5 unit = Rs.12550
$\therefore$ Total profit = 10 unit = 5 unit $\times$ 2 = Rs.12550 $\times$ 2 = Rs. 25100
BETA
