(A) : An amino acid, `H_(3)overset(+)(N)CHRCOO^(-)` can act as an ampholyte.
(R ) : On treatment with acid, amino part `(-NH_(2))` of amino acid acts as a base and on treatment with base the acidic part `(-COOH)` of amino acid acts as an acid.

Options

A. Both (A) and (R ) are true and (R ) is the correct explanation of (A)
B. Both (A) and (R ) are true and (R ) is not the correct explanation of (A)
C. (A) is true but (R ) is false
D. (A) is false but (R ) is true

Answer

To solve the question regarding the amino acid `H3N^+CHRCOO^-` acting as an ampholyte, we will analyze the properties of the amino acid and its behavior in acidic and basic environments.

### Step-by-Step Solution:

1. **Understanding Ampholytes**:
- An ampholyte is a substance that can act both as an acid and a base. This means it can donate protons (H⁺) in acidic conditions and accept protons in basic conditions.

2. **Structure of the Amino Acid**:
- The given amino acid has the structure `H3N^+CHRCOO^-`. Here, `H3N^+` represents the amino group (NH3⁺), and `COO^-` represents the carboxylate group (COO⁻). The `R` represents a variable side chain that is characteristic of different amino acids.

3. **Behavior in Acidic Conditions**:
- When the amino acid is treated with an acid, the amino group (`-NH2`) can accept a proton (H⁺) to become `-NH3^+`. This shows that the amino group acts as a base because it is accepting a proton.

4. **Behavior in Basic Conditions**:
- Conversely, when the amino acid is treated with a base, the carboxylate group (`-COO^-`) can donate a proton (H⁺) to become `-COOH`. This indicates that the carboxyl group acts as an acid because it is donating a proton.

5. **Conclusion**:
- Since the amino acid can act as both an acid and a base depending on the conditions, it qualifies as an ampholyte. Therefore, the statement in part (A) is true. The reasoning provided in part (R) is also true as it correctly explains the behavior of the amino acid in acidic and basic environments. However, it does not fully explain the ampholyte property itself.

### Final Answer:
- Both statements (A) and (R) are true, but (R) does not explain (A) adequately. Therefore, the correct answer is option B.