Find the cost of carpeting a room, 17 m long and 9 m wide, with a carpet 60 cm broad at 40 paisa per metre of length. 

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OSSC CGL Official Paper 2023 (Held on 14th May 2023)
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  1. Rs 110
  2. Rs 102
  3. Rs 100
  4. Rs 112

Answer (Detailed Solution Below)

Option 2 : Rs 102
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Detailed Solution

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Given Data:

Length of the room: 17 m

Width of the room: 9 m

Width of the carpet: 60 cm (or 0.6 m)

Cost of the carpet per metre: 40 paisa

Concept:

The carpet cost will be determined by the total number of required carpet strips multiplied by the length of each strip and the cost per metre.

Solution:

⇒ First step is to calculate the number of carpet strips. This is given by dividing the width of the room by the width of the carpet.

⇒ Number of carpet strips = Width of room / Width of carpet = 9 / 0.6 = 15 (strips)

⇒ The cost of carpeting the room is then calculated by multiplying the number of carpet strips, length of each strip and cost per metere.

⇒ Cost = Number of carpet strips × Length of each strip × Cost per meter = 15 × 17 × 40 (paisa)

⇒ Substituting the given values, we get Cost = 15 × 17 × 40 = 10200 paisa

⇒ paisa to rupees (as 1 Rupee = 100 Paisa), we get Cost = 10200 / 100 = 102 Rupees

Therefore, the cost of carpeting the room is 102 Rupees.

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