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 drivers'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?

Solution Coming Soon

Let A, R, and K represent the monthly salaries paid by Ajay, Rakesh, and Karan to their respective drivers.

The question asks for the value of A.

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From Statement I:

Rakesh pays 20% more than Ajay:

$R = 1.20A$

Ajay pays 30% more than Karan:

$A = 1.30K$

Statement I provides relationships between A, R, and K, but no actual numerical value. Therefore, Statement I alone is insufficient.

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From Statement II:

Karan pays for 6 months in advance and receives a 10% discount.

Amount paid = Rs 54,000 for 6 months with 10% discount

Without discount, 6 months would cost $6K$

With 10% discount:

$6K \times 0.90 = 54000$

$5.4K = 54000$

$K = 10000$

Statement II gives us K = Rs 10,000, but provides no relationship between K and A. Therefore, Statement II alone is insufficient.

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Using both statements together:

From Statement II: $K = 10000$

From Statement I: $A = 1.30K$

Therefore:

$A = 1.30 \times 10000$

$A = 13000$

Both statements together provide sufficient information to determine that Ajay pays Rs 13,000 per month to his driver.

The correct answer is Option 3: Both statements I and II are necessary to answer the question.