Question

A solar energy system uses a photovoltaic panel to convert solar energy into electricity, to charge a battery, and provide electricity as needed by the consumer. The photovoltaic pannel intercepts $1000$ units of solar energy and convert $20$% of that into electricity. There is a loss of $10$% energy while charging the battery. The battery can be used to supply only half of the stored energy to the consumer. Assuming $40$% energy loss in the distribution, the number of units of energy received by the customers is

• A. $6$
• B. $36$
• C. $54$
• D. $80$

Answer 1

The correct option is C $54$

Total units of solar energy$=1000$ units.

Converted into electricity$=20\%\times 1000=200$

Remaining$200-20=180$ units.

Since battery supplies only half of the stored energy

$⟹$ supplied energy$=\frac{1}{2}\times 180=90$ units.

Distribution loss$=40\%\times 90=36$

$\therefore$ Total energy received by the customers$=90-36=54$ units.