Instructions

In these questions, a question is given followed by information in three statements. You have to consider the information in all the three statements and decide the information in which of the Statement(s) is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly.

Question 102

What is the monthly income of Mr. X?
I. Mr. X spends 85% of his income on various items and remaining amount is saved.
II. Monthly savings of Mr. X are Rs.4,500
III. Out of the total money spent by Mr. X in a month, one- fth is spent on food and remaining
amount of Rs.20, 400 on other items.

Solution

Let monthly income of Mr. X = $$Rs. 100x$$

From I & II : Monthly savings = 100 - 85 = 15 %

=> $$\frac{15}{100} \times 100x = 4,500$$

=> $$x = \frac{4500}{15} = 300$$

$$\therefore$$ Monthly salary = $$100 \times 300 = Rs. 30,000$$


From I & III : Total money spent

=> $$\frac{85}{100} \times 100x \times \frac{4}{5} = 20,400$$

=> $$x = \frac{20,400}{68} = 300$$

$$\therefore$$ Monthly Salary = $$100 \times 300 = Rs. 30,000$$

Thus, statement I is necessary and either II or III is not necessarily required.


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