CAT 1997 — QA Question 54
Answer the next 2 questions based on the following information.
A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/hr. He was then chased by a policeman X. X started the chase, 15 min after the thief had started, at a speed of 65 km/hr.
Direction: Each of these items has a question followed by two statements, I and II. Mark the answer
1. if the question can be answered with the help of one statement alone.
2. if the question can be answered with the help of any one statement independently.
3. if the question can be answered with the help of both statements together.
4. if the question cannot be answered even with the help of both statements together.
What is the cost price of the chair?
I. The chair and the table are sold at profits of 15% and 20% respectively.
II. If the cost price of the chair is increased by 10% and that of the table is increased by 20%, the profit reduces by Rs. 20.
Answer & solution
Answer: 4
Let A and B be the CP of the chair and the table respectively. So 1.15A + 1.2B = SP.
Hence, profit = 0.15A + 0.2B. Now consider statement II, CP = 1.1A + 1.2B. As per new CP, now profit will be
SP – CP = (1.15A + 1.2B) – (1.1A + 1.2B) = 0.05A + 0xB = 0.05A. Combining both statements, we get the
equation as
0.05A = 0.15A + 0.2B – 20. Still we cannot find the answer.