Question:
The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
Rajnish buys 30 books and 65 pens. What money does he have to pay for this?
A. At a profit of 20\(\%\) he sells all the objects for Rs.3,828.
B. The CP of one book and one pen is Rs.90.
C. The difference of sum and difference of buying price of one pen and one book is Rs.28.
The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
Rajnish buys 30 books and 65 pens. What money does he have to pay for this?
A. At a profit of 20\(\%\) he sells all the objects for Rs.3,828.
B. The CP of one book and one pen is Rs.90.
C. The difference of sum and difference of buying price of one pen and one book is Rs.28.
Rajnish buys 30 books and 65 pens. What money does he have to pay for this?
A. At a profit of 20\(\%\) he sells all the objects for Rs.3,828.
B. The CP of one book and one pen is Rs.90.
C. The difference of sum and difference of buying price of one pen and one book is Rs.28.
Updated On: Nov 29, 2024
- Only A alone is sufficient
- B and C together are sufficient
- A alone or B and C together are sufficient
- All together are necessary
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The Correct Option is B
Solution and Explanation
Let's analyze the statements:
Statement A: Rajnish sells all objects for Rs. 3,828 at a profit of 20%, but this doesn’t provide the cost price of the books and pens.
Statement B: The combined cost price of one book and one pen is Rs. 90, but it doesn't give the total cost for 30 books and 65 pens.
Statement C: Provides a relationship between the cost of one pen and one book but does not give the total cost.
Combinations:
1. A alone: Not sufficient to determine total cost.
2. B and C together: Provides the combined cost and relationship needed to determine individual costs, allowing for the calculation of the total cost.
3. A alone or B and C together: A alone is not sufficient, but B and C together are sufficient.
4. All together: Even with all three statements, B and C are needed to calculate the total cost.
So, the correct option is (B): B and C together are sufficient to determine the total cost Rajnish has to pay for the 30 books and 65 pens.
Statement A: Rajnish sells all objects for Rs. 3,828 at a profit of 20%, but this doesn’t provide the cost price of the books and pens.
Statement B: The combined cost price of one book and one pen is Rs. 90, but it doesn't give the total cost for 30 books and 65 pens.
Statement C: Provides a relationship between the cost of one pen and one book but does not give the total cost.
Combinations:
1. A alone: Not sufficient to determine total cost.
2. B and C together: Provides the combined cost and relationship needed to determine individual costs, allowing for the calculation of the total cost.
3. A alone or B and C together: A alone is not sufficient, but B and C together are sufficient.
4. All together: Even with all three statements, B and C are needed to calculate the total cost.
So, the correct option is (B): B and C together are sufficient to determine the total cost Rajnish has to pay for the 30 books and 65 pens.
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