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
- A question and three statements labelled (I), (II) and (III) are given. You have to decide which statement(s) is/are sufficient to answer the question.
Question: Who is the shortest among A, B, C, D and E?
Statements:
I. A is taller than E but shorter than D.
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III. D is taller than C and A is taller than B. - You are given a question and two statements. Identify which of the statements is/are necessary/sufficient to answer the question.
Question:
Who is the father of M?
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Question:
Is Mohita younger or older than Shubham?
Statements:
1. Mohita is, at present, exactly 35 years younger than her father.
2. Mohita's brother, Shubham, who was born in 1954, is exactly 34 years younger than his father. - A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question.
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What is Preetee's age?
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Who ranked first in the class?
Statements:
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Question:
In a certain code language, 'pu ma kas' means 'we eat mangoes'. What is the code of 'mangoes'?
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Important Questions from Data Sufficiency
Which of the following statement is correct?
I. The value of 1002 - 992 + 982 - 972 + 962 - 952 + 942 - 932 + ...... + 222 - 212 is 4840.
II. The value of
\(\left(k^2+ \frac{1}{k^2} \right) \left(k- \frac{1}{k} \right) \left(k^4+ \frac{1}{k^4} \right) \) \(\left(k+ \frac{1}{k} \right)\left(k^4- \frac{1}{k^4} \right)\) is \(k^{16}- \frac{1}{k^{16}}\).
Given below is a question followed by two statements I and II. Read both statements carefully to decide which one of them is sufficient to answer the question.
Six people - A, B, C, D, E and F are sitting in a straight line facing north. Who sits to the immediate left of D?
(I) A sits second from one of the extreme ends of the line. Only two people sit between A and B. E sits to the immediate right of C.
(II) C sits third from the left end of the line. Only one person sits between C and F. E sits third to the right of F.
Please read the below equation and select an appropriate option from the following.
x + y = 10 ; y = x - 2
Quantity A is x.
Quantity B is y.
A lady wants to buy the following items in the given price range-
1. Tomato between Rs. 40 and Rs. 45 per kg.
2. Grapes in the price range of Rs. 80 and Rs. 90 per kg.
3. Milk packets at Rs. 23 per liter.
In which shop from the following will she definitely get all her items/
A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter.
B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg.
C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg.
D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
When is Yuvi's wedding anniversary?
Statements:
1: On the 7 th day of a month.
2. The month has 29 days only in a leap year.
