Question

The price of which of the mobile phones A and B is reduced more? I) The price of A is reduced by \(10\%\).
II) The price of B is reduced by \(12\%\).

• A. Statement I alone is sufficient to answer the question
• B. Statement II alone is sufficient to answer the question
• C. Both the statements I and II are sufficient to answer the question but neither statement alone is not sufficient
• D. Both the statements I and II together are not sufficient to answer the question and additional data is required

Hint:

To compare actual price reduction, original prices are required along with percentage reductions.

Answer 1

The Correct Option is D

Concept:
Reduction in price may mean actual amount reduced. If the original prices are different, then a smaller percentage reduction on a costly phone may be more than a larger percentage reduction on a cheaper phone.

Step 1: Check Statement I. Statement I says that phone A is reduced by \(10\%\). But the original price of A is not given. So the actual amount reduced for A cannot be found.

Step 2: Check Statement II. Statement II says that phone B is reduced by \(12\%\). But the original price of B is not given. So the actual amount reduced for B cannot be found.

Step 3: Combine both statements. Using both statements, we only know the percentage reductions. \[ A:10\%,\qquad B:12\% \] But without original prices, we cannot compare actual reductions. For example, \(10\%\) of Rs. \(50000\) is Rs. \(5000\), while \(12\%\) of Rs. \(20000\) is Rs. \(2400\). So percentage alone is not enough.

Step 4: Final answer. \[ \boxed{\text{Both statements together are not sufficient}} \]