A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find the cost of p

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A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find the cost of painting a pole that casts a shadow 5 m long. Painting is done at the rate of ₹ 5 per cm.

Options:

A . ₹4375

B . ₹ 5425

C . ₹3450

D . ₹ 3680

Answer: Option A
:
A
The ratio of the length of the pole to the length of the shadow remains constant.
The length of pole and the length of the shadow are directly proportional

\frac{A}{B}

= Constant

\frac{A_{1}}{B_{1}}

=

\frac{A_{2}}{B_{2}}

\frac{L e n g t h o f p o l e}{l e n g t h o f s h a d o w} = \frac{560}{320} = \frac{n}{500} (where n is length the second pole)

n = 875 cm

∴

the height of the pole = 875 cm
Cost of painting the pole = 875 x 5 = ₹ 4375

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