SSAT Math Question 212: Answer and Explanation
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Question: 212
6. A farmer sold 30% of his corn crop to an ethanol plant. He then sold 10% of the remainder of his crop to a grocery store chain. What percent of his original crop does he now have?
- A. 70%
- B. 65%
- C. 63%
- D. 60%
Correct Answer: C
Explanation:
The answer is C
Let x represent the value of the original crop. As he first sold 30%, he had 70% left, so he currently has 0.70x. He then sold 10% of that remaining amount, so he had 90% of the amount left. Therefore, he now has (0.90)(0.70)x. Multiply the two numbers for a result of 0.63x. This is 63% of the original amount.
On percent questions without an original amount, you can plug in for the original amount. 100 is a good number. If the farmer sold 30% of his corn, he sold 30, leaving 70. If he then sold 10% of what is left, he sold 7. There are 63 left, or 63% of the original 100.