Concept:We need to check if the given ratios can uniquely determine the exact numerical value of P's expenditure.
Explanation:Let P's salary be
6x and Q's salary be
5x.
From Statement I, let P's savings be
3y and Q's savings be
2y.
Then P's expenditure =
6x−3y, and Q's expenditure =
5x−2y.
From Statement II, the ratio of P's expenditure to Q's expenditure is
1:1, so they are equal.
Using both statements together, we get:
6x−3y=5x−2y⇒6x−5x=3y−2y⇒x=yThus, P's expenditure =
6x−3y=6x−3x=3x.
But the value of
x (or
y) is not known, so we cannot find the exact numerical value of P's expenditure.
Even using both statements, we only express expenditure in terms of an unknown variable.
This means the question cannot be answered even by using both statements together.
Answer:D. The Question cannot be answered even by using both the Statements together.