A record store sold 100 copies of a CD in January. In February, the store's sales of the CD increased by 10 percent over the January sales. In March, the store sold 20 percent more copies of the CD than it sold in February. How many copies of the CD did the store sell in March?
The store sold 132 copies of the CD in March.
The February sales increased by 10 percent over January's 100 copies, resulting in 110 copies sold in February. The March sales then increased by 20 percent over the 110 copies sold in February, leading to the sale of 132 copies in March.
This answer might be derived from a misunderstanding that the 20 percent increase in March is calculated from January's sales of 100 copies. However, the question states that the 20 percent increase is based on February's sales, not January's.
This answer might result from an incorrect calculation of the 20 percent increase in March. If one incorrectly calculated 20 percent of 100 (January's sales) and then added this to February's sales of 110, the result would be 122. However, the 20 percent increase should be calculated from February's sales of 110, not January's 100.
This answer could result from incorrectly adding 10 percent to the February sales and then another 20 percent to that total, but using the original January sales figure of 100 for both calculations. But the question specifies that the 20 percent increase in March is based on February's sales, not January's.
This is the correct answer. It accurately reflects a 10 percent increase on January's sales of 100 to obtain February's sales of 110, and then a 20 percent increase on February's sales to obtain March's sales of 132.
The problem requires two steps of calculation based on percentage increases. The initial sales figure for January is 100, which increases by 10 percent in February resulting in 110 copies sold. In March, sales increase by 20 percent based on February's sales, leading to the sale of 132 copies. Other answer choices may result from misunderstandings about which month's sales serve as the basis for the percentage increases.
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