Question

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 by 20%, the profit reduces by Rs.\ 20.

• A. The question can be answered by one of the statements alone but not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

Always check if enough independent equations exist for the unknowns; otherwise, data is insufficient.

Answer 1

The Correct Option is D

I: Only gives profit percentages, no cost or selling prices. Insufficient.
II: Gives relation between cost price changes and profit change, but without actual selling prices or one cost, cannot solve uniquely. Even together, not enough information to determine cost price of chair.