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.
In January, the store sold 100 copies of the CD, and with a 10 percent increase in February, it sold 110 copies. A further 20 percent increase in March resulted in sales of 132 copies.
This choice suggests that the store sold only 120 copies in March. However, this does not account for the 20 percent increase in sales over the February total of 110 copies. A 20 percent increase on 110 would result in a higher number than 120.
Choosing 122 implies that the store sold a minimal increase over the previous month's sales. This calculation incorrectly assumes a smaller percentage increase than the actual 20 percent on February's sales of 110 copies, leading to an underestimation.
This option indicates that the store sold 130 copies in March. While this reflects an increase, it also fails to correctly apply the 20 percent increase on the February sales total. The actual increase from 110 copies would result in 132 copies sold, not 130.
This option accurately calculates the sales for March. After selling 110 copies in February, a 20 percent increase results in an additional 22 copies sold (20% of 110), bringing the total to exactly 132 copies.
The sales progression from January to March demonstrates the calculations involved in applying percentage increases correctly. Starting with the January sales of 100 copies, the increases in February and March cumulatively resulted in 132 copies sold in March. Each of the other options miscalculates the percentage increases, leading to incorrect totals.
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