Partnership Ques 29
Question
Three partners $P, Q$ and $R$ run $a$ business with investments of Rs. 30,000 , Rs. 40,000 Rs. 50,000 respectively. $P$ stays for the entire year. $Q$ leaves the business after two months but rejoins after another 4 months but with only $\frac{3}{4}$ of his initial capital. $R$ leaves after 3 months and rejoins after another 5 months but with only $\frac{4}{5}$ th of his initial capital. If at the end of the year, the total profit is Rs. 27,900 , then how much did $R$ get more than $Q$ in the profit?
(1) Rs. 2,000
(2) Rs. 1,250
(3) Rs. 1,500
(4) Rs. 1,000
(5) Rs. 1,750
(IBPS Bank PO/MT CWE (Main Exam) 18.11.2018)
Show Answer
Answer: (3)
Solution: (3)
Profit ratio of P, Q and R $=$ $(30000 \times 12):((40000 \times 2)$ $+(30000 \times 6)):((50000 \times 3)$ $+(40000 \times 4))$
$=36: 26: 31$
Total profit is Rs 27900
Sum of the ratios $=36+26+31=93=27900$
Required difference $=\frac{31-26}{93} \times 27900=$ Rs. 1500
BETA
