Ratio And Proportion Ques 24
Question-
$A, B$ and $C$ invest in a business. $B$ invests an amount which was twice of that invested by A. C invests an amount which was thrice of that invested by A. At the end of eight months from the start of the business, A and B both double their respective investments. If at the end of the year, C’s share out of the total annual profit earned was Rs. 13,500 , what was the total profit earned that year?
(1) Rs. 31500
(2) Rs. 28500
(3) Rs. 32500
(4) Rs. 45000
(5) Rs. 32000
(Bank of Baroda Exam, 25.09.2016)
Show Answer
Correct Answer: (1)
Solution: (1)
A’s investment = Rs. $x$
B’s investment $=$ Rs. $2 x$
C’s investment $=$ Rs. $3 x$
Ratio of the equivalent capitals of
$A, B$ and $C$ for 1 month
$=(x \times 8+2 x \times 4):(2 x \times 8+4 x \times 4) : 3 x \times 12$
$=16 x: 32 x: 36 x$
$=4: 8: 9$
Sum of the terms of ratio $=4+8+9=21$
If the annual profit be Rs. $y$, then
C’s share $=$ Rs. $\frac{9 y}{21}$
$\therefore \frac{9 y}{21}=13500$
$\Rightarrow y=\frac{13500 \times 21}{9}=$ Rs. 31500
BETA
