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The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?
- a)Rs. 384
- b)Rs. 298
- c)Rs. 192
- d)Rs. 96
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The cost of papering the four walls of a room is Rs. 48. Each one of l...
Let the length, breadth and height of the room be l, b and h respectively
As per question
Cost of 2(l + b) x h = Rs. 48
∴ Required cost = cost of 2 (2l + 2b) x 2h
= cost of 4 [2(l + b) x h ]
= 4 x Rs. 48
= Rs. 192
Cost of 2(l + b) x h = Rs. 48
∴ Required cost = cost of 2 (2l + 2b) x 2h
= cost of 4 [2(l + b) x h ]
= 4 x Rs. 48
= Rs. 192
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The cost of papering the four walls of a room is Rs. 48. Each one of l...
Understanding the Problem
To find the cost of papering the walls of a new room, we first need to analyze the relationship between the dimensions of the two rooms and their respective costs.
Dimensions of the Rooms
- Let the length, breadth, and height of the original room be L, B, and H respectively.
- The volume of the original room does not directly affect the wall papering cost, but the surface area does.
Calculating Surface Area of the Original Room
- The surface area of the four walls of a room can be calculated using the formula:
Surface Area = 2 * (L * H + B * H)
- For the original room, suppose the surface area is A square units. The cost of papering these walls is Rs. 48.
Dimensions of the New Room
- The new room has dimensions double that of the original:
- Length = 2L
- Breadth = 2B
- Height = 2H
Calculating Surface Area of the New Room
- The surface area of the new room:
New Surface Area = 2 * (2L * 2H + 2B * 2H) = 2 * 4 * (L * H + B * H) = 4 * A
Cost of Papering the New Room
- Since the surface area of the new room is four times that of the original room, the cost will also increase proportionally.
- Therefore, the cost of papering the new room = 4 * Rs. 48 = Rs. 192.
Conclusion
The cost of papering the walls of the new room is Rs. 192. Hence, the correct answer is option 'C'.
To find the cost of papering the walls of a new room, we first need to analyze the relationship between the dimensions of the two rooms and their respective costs.
Dimensions of the Rooms
- Let the length, breadth, and height of the original room be L, B, and H respectively.
- The volume of the original room does not directly affect the wall papering cost, but the surface area does.
Calculating Surface Area of the Original Room
- The surface area of the four walls of a room can be calculated using the formula:
Surface Area = 2 * (L * H + B * H)
- For the original room, suppose the surface area is A square units. The cost of papering these walls is Rs. 48.
Dimensions of the New Room
- The new room has dimensions double that of the original:
- Length = 2L
- Breadth = 2B
- Height = 2H
Calculating Surface Area of the New Room
- The surface area of the new room:
New Surface Area = 2 * (2L * 2H + 2B * 2H) = 2 * 4 * (L * H + B * H) = 4 * A
Cost of Papering the New Room
- Since the surface area of the new room is four times that of the original room, the cost will also increase proportionally.
- Therefore, the cost of papering the new room = 4 * Rs. 48 = Rs. 192.
Conclusion
The cost of papering the walls of the new room is Rs. 192. Hence, the correct answer is option 'C'.
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The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer?.
The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer?.
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The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?a)Rs. 384b)Rs. 298c)Rs. 192d)Rs. 96Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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