Question:
What will be the total price of 10 chairs, each of which is of the same price?
Statements:
I. One-fourth of the price of each chair is ₹140.
II. The total price of 3 chairs is ₹560 more than the total price of 2 chairs.
The main question asks for the total price of 10 chairs, given that all chairs have the same price. We need to determine if the provided statements are sufficient to find this total price.
Statement I Sufficiency Analysis
Statement I says: "One-fourth of the price of each chair is ₹140."
Let the price of one chair be denoted by $P$. The statement can be written as:
$ \frac{1}{4} \times P = 140 $
To find the price of one chair ($P$), we multiply both sides by 4:
$ P = 140 \times 4 = 560 $
So, the price of one chair is ₹560.
The total price of 10 chairs is:
$ \text{Total Price} = 10 \times P = 10 \times 560 = 5600 $
Therefore, Statement I alone is sufficient to answer the question.
Statement II Sufficiency Analysis
Statement II says: "The total price of 3 chairs is ₹560 more than the total price of 2 chairs."
Let the price of one chair be $P$. The statement can be written as:
$ (3 \times P) = (2 \times P) + 560 $
To find the price of one chair ($P$), we rearrange the equation:
$ 3P - 2P = 560 $
$ P = 560 $
So, the price of one chair is ₹560.
The total price of 10 chairs is:
$ \text{Total Price} = 10 \times P = 10 \times 560 = 5600 $
Therefore, Statement II alone is sufficient to answer the question.
Conclusion on Sufficiency
Since both Statement I and Statement II independently provide enough information to calculate the price of one chair and subsequently the total price of 10 chairs, either statement is sufficient.
Similar Questions
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Important Questions from Data Sufficiency
Consider two Statements and a Question:
Statement 1: Priya is 4 ranks below Seema and is 31 st from the bottom.
Statement 2: Ena is 2 ranks above Seema and is 37" from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question:
Statement 1: Each of A and D is heavier than each of B, E and F, but none of them is the-heaviest.
Statement 2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A,B,C, D and E?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question :
Statement-1 : The last day of the month is a Wednesday.
Statement-2 : The third Saturday of the month was the seventeenth day.
Question : What day is the fourteenth of the given month ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider the Question and two Statements given below :
Question : Is xan integer?
Statement-1 : x / 3 is not an integer.
Statement-2 : 3 xis an integer.
Which one of the following is correct in respect of the Question and the Statements?
Consider the Question and two Statements given below:
Question : What is the age of Manisha?
Statement-1: Manisha is 24 years younger than her mother.
Statement-2 : 5 years later, the ages of Manisha and her mother will be in the ratio 3 : 5.
Which one of the following is correct in respect of the Question and the Statements?
