Target Exam

CUET

Subject

General Aptitude Test

Chapter

Logical and Analytical Reasoning

Topic

Data Sufficiency

Question:

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 ?

Options:

Only statement i is sufficient to answer the question.

Only statement ii is sufficient to answer the question.

Both statements i and ii are necessary to answer the question.

Either statement i or statement ii is/are sufficient to answer the question.

Correct Answer:

Both statements i and ii are necessary to answer the question.

Explanation:

The correct answer is Option (3) → Both statements i and ii are necessary to answer the question.

Given:

i. Rakesh pays 20% more than Ajay.
Ajay pays 30% more than Karan.

ii. Karan paid ₹54000 for 6 months in advance after a 10% discount.

From Statement ii:

Karan got a 10% discount, so ₹54000 represents 90% of 6 months’ salary.

So, full 6-month salary = ₹54000 ÷ 0.9 = ₹60000

⇒ Monthly salary of Karan’s driver = ₹60000 ÷ 6 = ₹10000

From Statement i:

Ajay pays 30% more than Karan ⇒ Ajay’s driver salary = ₹10000 × (1 + 0.30) = ₹13000

Rakesh pays 20% more than Ajay ⇒ Not needed to find Ajay’s salary.

Conclusion:

Both statements together are necessary to determine Ajay’s salary.