Question: A certain sum is divided among P, Q and R in such a way that P gets Rs. 40 more than the $ \frac{1}{2} $ of the sum. Q gets Rs. 120 less than $ \frac{3}{8}th $ of the sum and R get Rs. 200. What is the total sum? [IBPS (PO/MT) Pre 2015]
Options:
A) Rs. 960
B) Rs. 850
C) Rs. 906
D) Rs. 805
E) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the sum be x.
P gets $ =\frac{x}{2}+40 $
Q gets $ =\frac{3}{8}x-120 $
R gets $ =200 $
According to the question,
$ \frac{x}{2}+40+\frac{3}{8}x-120+200=x $
$ \Rightarrow $ $ \frac{x}{2}+\frac{3}{8}x-x=-,200+120-40 $
$ \Rightarrow $ $ \frac{4x+3x-8x}{8}=-,240+120 $
$ \Rightarrow $ $ \frac{-x}{8}=-120 $
$ \Rightarrow $ $ \frac{x}{8}=120 $
$ \Rightarrow $ $ x=8\times 120=960 $