Question

the population of a colony of ants first increased by m% and then decreased by M% a sa result the population
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Answer 1

Given :- The population of a colony of ants first increased by M% and then decreased by M% a sa result the population . Find % increase of decrease in population now ?

Answer :-

Let initial population of ants = 100x .

after increasing M% ,

→ Population of ants = 100x * (100 + M)/100 = x(100 +M) .

and, after decreasing M% ,

→ Present Population of ants = x(100 + M) * (100 - M)/100 = x(10000 - M²)/100 = {100x - (M²x/100)}

then,

→ Population of ants decreased by = M²x/100 .

hence,

→ % decreased in population of ants = (M²x/100) * 100 / (100x) = (M²/100) % (Ans.)

Remember :- when some quantity or price of quantity is increased and decreased by same percentage as R% then,

• Oringinal quantity is always decrease .
• It decrease by (R²/100) .

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