Question

What is the price of tea?
[I.] Price of coffee is Rs. 5 more than that of tea.
[II.] Price of coffee is Rs. 5 less than the price of a cold drink which costs three times the price of tea.

• A. if the question can be answered with the help of any one statement alone but not by the other statement.
• B. if the question can be answered with the help of either of the statements taken individually.
• C. if the question can be answered with the help of both statements together.
• D. if the question cannot be answered even with the help of both statements together.

Hint:

When both statements give different relations for the same quantity, equate them to find the unknown.

Answer 1

The Correct Option is C

Let the price of tea = \( x \) From I: Coffee = \( x + 5 \) From II: Cold drink = \( 3x \Rightarrow \) Coffee = \( 3x - 5 \) Equating both expressions for coffee: \[ x + 5 = 3x - 5 \Rightarrow 10 = 2x \Rightarrow x = 5 \] Thus, both statements together are required to determine the price of tea.