Read the information given below carefully and answer the question that follows:
Question: How much does Ajay pay to his driver every month as Salary?
Statements:
i. Rakesh pays 20% more per month, to his driver than Ajay as Rakesh's driver has a 15 year experience. Moreover, Ajay pays 30% more per month than Karan as Karan's driver has mere 5 years of experience.
ii. As Karan would avail 10% discount on driver's salary by paying for 6 months in advance, Karan paid his driver Rs 54000 for 6 months in advance.
Determine which of the following is True in order to solve the asked question?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Both statements i and ii are necessary to answer the question.
In data sufficiency, a statement is sufficient only if it leads to one definite figure for what is asked; each statement is first tried alone, then the two together.
Statement i alone (Rakesh pays 20% more than Ajay, and Ajay pays 30% more than Karan):
These are only comparisons, with no rupee amount, so Ajay’s salary cannot be found
Statement ii alone (after a 10% discount Karan paid Rs 54000 for 6 months):
Full amount for 6 months \(=54000\div0.9=60000\)
That is Rs 10000 a month
This gives Karan’s figure, but nothing links Ajay to Karan
Both together (Ajay pays 30% more than Karan):
Ajay pays \(1.3\times10000=\) Rs 13000 a month