Shreya estimated the cost of painting the… | Answer

Subject

Quantitative Aptitude

Topic

Mensuration

Shreya estimated the cost of painting the four walls of her old room to be Rs. 600. If the length, breadth and height of her new room are double of that her old room. What will be the cost of painting all the four walls of her new room?
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ক)

Rs. 1200

খ)

Rs. 150

গ)

Rs. 2400

ঘ)

Rs. 4800

ঙ)

Rs. 300

Explanation

Let the length, breadth and height of old room be l. b and h respectively. Painting is done on a surface area so cost of painting will be proportional to the surface area of the room, excluding the base area and top area. Area to be painted = 2 × (bh + lh) ∵ Cost of Painting the above area = Rs. 600 Now, in the new room, the length, breadth and height are twice of those in the old room. ∴ New length = 2l; New breadth = 2b and new height= 2h ∴ New area to be painted = 2 × [(2b × 2h) + (2l × 2h)] ⇒ New area to be painted = 8 × (bh + lh) ∴ New cost of painting

= \frac{{Old\;cost\;of\;painting}}{{Old\;Area}} \times New\;Area

⇒ New cost of painting

= \frac{{600}}{{2\left( {bh + lh} \right)}} \times 8\left( {bh + lh} \right)

⇒ New cost of painting = 4 × 600 = Rs. 2400

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Shreya estimated the cost of painting the four walls of her old room to be Rs. 600. If the length, breadth and height of her new room are double of that her old room. What will be the cost of painting all the four walls of her new room?Reading

Shreya estimated the cost of painting the four walls of her old room to be Rs. 600. If the length, breadth and height of her new room are double of that her old room. What will be the cost of painting all the four walls of her new room?

Explanation

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Shreya estimated the cost of painting the four walls of her old room to be Rs. 600. If the length, breadth and height of her new room are double of that her old room. What will be the cost of painting all the four walls of her new room?
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