| Directions: In each of the following questions, a question is followed information given in three statements. You have to study the question along with the statements and decide the information given in which of the statement (s) is necessary to answer the question. |
| What is the present monthly salary of Mr. B? |
| I. The ratio of respective present salaries of |
| Mr. A and Mr. B is 3: 4. |
| II. One year ago, the sum of monthly salaries of Mr. A and Mr. B was Rs. 29866.67. |
| III. The salaries of Mr. A and Mr. B were increased by 10% and 20%, respectively since the last year. |
A) II and either I or II
B) I and II
C) I and III
D) All, I, II and III
E) Even with all the three statements answer cannot by given
Correct Answer: D
Solution :
| I. Let the present salaries of Mr. A and Mr. B be \[3x\]and \[4x,\]respectively. |
| III. One yea; ago, let Mr. A's salary be y. |
| Then, \[y+\frac{10}{100}y=3x\]\[\Rightarrow \]\[\frac{11y}{10}=3x\]\[\Rightarrow \]\[y=\frac{30x}{11}\] |
| Similarly, Mr. B's salary \[=\frac{10x}{3}\] |
| II. \[\frac{30x}{11}+\frac{10x}{3}=\text{Rs}\text{.}\,\,\text{29866}\text{.67}\] |
| Clearly, we can determine the value of x using all |
| The three statements. |
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