# Energy saving

They were released three different, independent inventions saving 12%, 15% and 25% energy. Some considered that while the use of these inventions, the total savings will be 12% + 15% + 25% = 52%. Is this true? How much percent of energy will save all three inventions together?

Correct result:

p =  43.9 %

#### Solution:

$p=100\cdot \left(1-\left(1-0.12\right)\cdot \left(1-0.15\right)\cdot \left(1-0.25\right)\right)=43.9\mathrm{%}$

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