Ratio And Proportion Ques 21
Question-
A certain sum is divided among $A, B$ and $C$ in such a way that $A$ gets Rs. 221 more than $\frac{1}{6}$ th of the sum, B gets Rs. 40 less than $\frac{2}{5}$ th of the sum and $C$ gets Rs. 300. What is the total sum invested?
(1) Rs. 1110
(2) Rs. 1120
(3) Rs. 1220
(4) Rs. 1320
(5) None of these
(SIDBI Officer Online Exam.24.02.2016)
Show Answer
Correct Answer: (1)
Solution: (1)
Total amount = Rs. $x$ (let)
$A=\frac{x}{6}+221 ; B=\frac{2 x}{5}-40$
$C=$ Rs. 300
$\therefore \frac{x}{6}+221+\frac{2 x}{5}-40+300=x$
$\Rightarrow x-\frac{x}{6}-\frac{2 x}{5}=481$
$\Rightarrow \frac{30 x-5 x-12 x}{30}=481$
$\Rightarrow 13 x=481 \times 30$
$\Rightarrow x=\frac{481 \times 30}{13}=$ Rs. 1110
BETA
