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This problem trains for: SAT-I, GMAT, AMC-8, Math Kangaroo 3-4, Math Kangaroo 5-6.

A squirrel has stored 12,000 acorns for winter. In the first two months of winter it eats 30% of the acorns, in the next two months it eats 30% more than in the first two months and it eats the rest in the last two months of winter. How much percent of the total number of acorns has it eaten in the last two months of winter?

In the first two months, the squirrel has eaten:

equation

2,400 acorns.

In the next two months, it has eaten:

equation

For a total of

equation

acorns. Left for the last two months are:

equation

which represent x percent of the total number of acorns:

equation

Solving for x:

equation