The cost of carpeting a room 18 m long with carpet 75 cm wide at ₹ 4.50 per…
2023
The cost of carpeting a room 18 m long with carpet 75 cm wide at ₹ 4.50 per metre is ₹ 810. The breadth of the room is
- A.
7 m / 7 मीटर
- B.
7.5 m / 7.5 मीटर
- C.
8 m / 8 मीटर
- D.
More than one of the above
- E.
None of the above
Attempted by 19 students.
Show answer & explanation
Correct answer: B
Step 1: Total cost of carpeting = ₹810. Cost per metre = ₹4.50. So, total length of carpet used = ₹810 ÷ ₹4.50 = 180 m.
Step 2: Width of carpet = 75 cm = 0.75 m. Area covered by carpet = length × width = 180 m × 0.75 m = 135 m².
Step 3: Length of room = 18 m. Area of room = length × breadth. So, breadth = area ÷ length = 135 m² ÷ 18 m = 7.5 m.
हिन्दी उत्तर:
चरण 1: कारपेट बिछाने की कुल लागत = ₹810। प्रति मीटर लागत = ₹4.50। इसलिए कारपेट की कुल लंबाई = ₹810 ÷ ₹4.50 = 180 मीटर।
चरण 2: कारपेट की चौड़ाई = 75 सेमी = 0.75 मीटर। कारपेट द्वारा कवर क्षेत्रफल = लंबाई × चौड़ाई = 180 मीटर × 0.75 मीटर = 135 मीटर²।
चरण 3: कमरे की लंबाई = 18 मीटर। कमरे का क्षेत्रफल = लंबाई × चौड़ाई। इसलिए चौड़ाई = क्षेत्रफल ÷ लंबाई = 135 मीटर² ÷ 18 मीटर = 7.5 मीटर।
A video solution is available for this question — log in and enroll to watch it.