Question given below has a problem and two statements numbered I and II giving…
2024
Question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem: What is the monthly salary of Praveen?
I. Praveen gets 15% more than Sumit while Sumit gets 10% less than Lokesh.
II. Lokesh's monthly salary is Rs. 2500.
- A.
the data in both the statements together are needed
- B.
the data even in both the statements together are not sufficient to answer the question
- C.
the data in statement II alone are sufficient to answer the question
- D.
the data either in I or II alone are sufficient to answer the question
Attempted by 4 students.
Show answer & explanation
Correct answer: A
In Data Sufficiency questions, a statement is sufficient only when it lets you compute one definite numerical value for what is asked. A statement that gives just a relationship (a ratio or percentage link) without an anchor number cannot, by itself, be evaluated numerically, and a statement that gives an anchor number with no link to the target person cannot be transferred to that person either. Both statements must be combined whenever one supplies the relationship chain and the other supplies the anchor value.
Statement I only gives relationships: Praveen = 1.15 x Sumit (15% more than Sumit), and Sumit = 0.90 x Lokesh (10% less than Lokesh). Chaining these gives Praveen = 1.15 x 0.90 x Lokesh = 1.035 x Lokesh -- no absolute salary appears anywhere in this chain, so Statement I alone cannot fix Praveen's salary.
Statement II only gives a number: Lokesh's monthly salary is Rs. 2500. It says nothing about how Praveen's salary relates to Lokesh's, so Statement II alone cannot fix Praveen's salary either.
Combining both: substitute Lokesh = Rs. 2500 into the chain from Statement I -- Praveen = 1.035 x 2500 = Rs. 2587.50. This is now a single, definite value, so both statements TOGETHER are necessary and sufficient.
Cross-check: Sumit = 90% of 2500 = Rs. 2250, and Praveen = 115% of 2250 = Rs. 2587.50 -- the same result, confirming the answer only follows from combining the ratio chain (Statement I) with the anchor value (Statement II).