Question

A solar panel is designed by dimesions 70cvx50cm, which cost Rs.500 and it supplies energy for an area of 500 sq.m find the number of solar panels and cost of the solar panels required to provide an energy for 2500 sq.mand 3500sq.m. Also find the cost ratio between these two areas.

Answer 1

Given:-

• Dimensions of the solar panel = 70cm × 50cm
• Cost of designing 1 solar panel = Rs.500
• 1 solar panel supplies energy for an area of 500 sq.m

To Find:-

• Number of panels required to provide an energy for 2500 sq.m and 3500 sq.m
• Cost of solar panels required to provide an energy for 2500 sq.m and 3500 sq.m
• Cost ratio between these two areas.

Solution:-

The dimensions of the solar panel = 70cm × 50cm = 0.7m × 0.5m

Therefore,

1 solar panel supplies energy to an area of 500 sq.m

Now,

As area of 1 solar panel supplies energy to an area of 500 sq.m

Hence

Number of panel required to supply energy to an area of 2500:

= 2500/500 = 5 panels.

Hence 5 panels are required to supply energy to an area of 2500 sq.m

Now,

As the Cost of designing 1 solar panel is Rs.500

Hence the Cost of Designing 5 Solar panels = 5 × 500 = Rs.2500

Hence the cost of designing solar panels for an area of 2500 sq.m will be Rs.2500.

Now,

As 1 panel supplies energy to an area of 500 sq.m

Hence,

An area of 3500 sq.m will require:

= 3500/500 = 7 solar panels

Hence the number of panels required to supply energy to an area of 3500 sq.m is 7.

Now,

As the cost of designing one solar panel is Rs.500

Hence,

The cost of designing 7 solar panels = 7 × 500 = Rs.3500

Therefore the cost of designing 7 solar panels is Rs.3500.

Now,

The Cost ratio between these two area:-

= 2500 : 3500

= 5 : 7

Hence the cost ratio between these two areas is 5 : 7.

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