Question

Given below a question followed by 2 statements. Choose the statement/statements required to answer the question by selecting the right option.
Question: How many chocolates does Rohan have?
Statements:
I. Rohan has 30\(\%\) of the number of chocolates that Vishal has.
II. The total number of chocolates with Rohan and Vishal is 65.

• A. Statement II alone is sufficient
• B. Statement I alone is sufficient
• C. Neither statement I nor statement II are sufficient
• D. Both statements I and II together are sufficient

Answer 1

The Correct Option is D

Chocolate Counting Problem 

Step 1: Define Variables

Let the number of chocolates that Vishal has be \( x \).

Step 2: Use Statement I

From statement I, we know that Rohan has 30 chocolates.

Step 3: Use Statement II

From statement II, the total number of chocolates with Rohan and Vishal is 65, so:

\[ 0.30x + x = 65 \] Simplifying: \[ 1.30x = 65 \] Solving for \( x \): \[ x = \frac{65}{1.30} = 50 \]

Step 4: Calculate Rohan’s Chocolates

Using statement I, the number of chocolates Rohan has is:

\[ 0.30 \times 50 = 15 \]

Conclusion:

Therefore, Vishal has 50 chocolates, and Rohan has 15 chocolates.

Final Answer:

The correct answer is (d) Both statements I and II together are sufficient.