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⋅(1−(1−0.12)⋅(1−0.15)⋅(1−0.25))=43.9%p = 100\cdot (1-(1-0.12)\cdot (1-0.15)\cdot (1-0.25)) = 43.9 \%

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