English

The cost of carpeting a room 15 m long with a carpet 75 cm wide, at ₹ 70 per metre, is ₹ 8400. The width of the room is ______.

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Question

The cost of carpeting a room 15 m long with a carpet 75 cm wide, at ₹ 70 per metre, is ₹ 8400. The width of the room is ______.

Options

  • 9 m

  • 8 m

  • 6 m

  • 12 m

MCQ
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Solution

The cost of carpeting a room 15 m long with a carpet 75 cm wide, at ₹ 70 per metre, is ₹ 8400. The width of the room is 6 m.

Explanation:

Length of the carpet = `"Total cost"/"Rate per metre"`

= `(8400/70) m`

= 120 m

Area of the room = Area of the carpet

= `(120 xx 3/4) m^2`

= 90 m2

Width of the room = `"Area"/"Length"`

= `(90/15) m`

= 6 m

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Chapter 15: Perimeter And Area of Plane Figures - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 697]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 15 Perimeter And Area of Plane Figures
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 4. | Page 697
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