Rajnish buys 30 books and 65 pens. If price of each book is more than price of each pen than what money does he have to pay for this?
A. At a profit of `20%` he sells all the objects for Rs. 3828.
B. The CP of one book and one pen is Rs. 90
C. The difference between sum and difference of buying price of ne pen and one book is Rs. 28

Options

A. Only A alone or B alone is sufficient
B. B or C together are sufficient
C. A alone or B and C together are sufficient
D. All even together are not sufficient

Explanation

To solve the problem, we need to determine the total cost price (CP) that Rajnish has to pay for 30 books and 65 pens based on the given conditions.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- Rajnish buys 30 books and 65 pens.
- The price of each book is greater than the price of each pen.
- We have three conditions (A, B, C) to analyze.

2. **Analyzing Condition A**:
- Condition A states that Rajnish sells all the items at a profit of 20% for Rs. 3828.
- Let the total cost price (CP) of the books and pens be \( x \).
- Selling price (SP) is given by the formula:
\[ SP = CP + (Profit \% \times CP) = CP + 0.2 \times CP = 1.2 \times CP \]
- From the problem, we know:
\[ 1.2x = 3828 \]
- Solving for \( x \):
\[ x = \frac{3828}{1.2} = 3190 \]

3. **Analyzing Condition B**:
- Condition B states that the cost price of one book and one pen together is Rs. 90.
- Let the cost price of one book be \( b \) and one pen be \( p \).
- We have:
\[ b + p = 90 \]
- The total cost price for 30 books and 65 pens can be expressed as:
\[ CP = 30b + 65p \]
- However, we cannot determine the total cost price with this information alone because we have two variables and only one equation.

4. **Analyzing Condition C**:
- Condition C states that the difference between the sum and difference of the cost price of one pen and one book is Rs. 28.
- This can be expressed as:
\[ (b + p) - (b - p) = 28 \]
- Simplifying this gives:
\[ 2p = 28 \implies p = 14 \]
- Substituting \( p \) back into Condition B:
\[ b + 14 = 90 \implies b = 76 \]

5. **Calculating Total Cost Price**:
- Now we can calculate the total cost price using the values of \( b \) and \( p \):
\[ CP = 30b + 65p = 30(76) + 65(14) \]
- Calculating each term:
\[ CP = 2280 + 910 = 3190 \]

### Conclusion:
The total cost price that Rajnish has to pay for 30 books and 65 pens is Rs. 3190.