2024 · Q66
A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option.
Question: The ratio of P's salary to Q's salary is 6 : 5. How much is P's expenditure?
Statement IThe ratio of P's saving to Q's saving is 3 : 2
Statement IIThe ratio of P's expenditure to Q's expenditure is 1 : 1 Which one of the following is correct in respect of the above Question and the Statements?
Elementary MathematicsRatio and Proportion
- AThe Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question cannot be answered even by using both the Statements together
Explanation
Let P's salary be 6k, Q's 5k. Both statements give savings 3m, 2m and equal expenditures: 6k−3m = 5k−2m, i.e. k = m, so expenditure = 3k — still undetermined without k. Even both statements together cannot fix the amount — option D.