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A dozen eggs and 10 pounds of apples...

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A dozen eggs and 10 pounds of apples...

by swerve » Wed Jan 17, 2018 11:40 am
A dozen eggs and 10 pounds of apples are currently at the same price. If the price of a dozen eggs rises by 10 percent and the price of apples rises by 2%. How much more will it cost to buy a dozen eggs and 10 pounds of apples?

A. 2%
B. 6%
C. 10%
D. 12%
E. 12.2%

The OA is B.

Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks.
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Watch out Percent

by DrMaths » Wed Jan 17, 2018 3:12 pm
A dozen eggs and 10 pounds of apples are currently at the same price. If the price of a dozen eggs rises by 10 percent and the price of apples rises by 2%. How much more will it cost to buy a dozen eggs and 10 pounds of apples?

Price of eggs = Price of apples = P
New Total Price = 1.10P + 1.02P = 2.12P
The ratio of New to Old price is 2.12P:2P = 2.12/2 = 1.06
Therefore the % increase is 6%

Therefore the answer is B.
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