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Zorluk: KolayPercentages, Percent Change, and Interest

At the start of the year, a community library owned 8,0008,000 books. During the course of the year, the total number of books in the collection increased by 15%15\%. How many books were in the library's collection at the end of the year?

  1. A
    1,2001,200
  2. B
    6,8006,800
  3. C
    8,0158,015
  4. 9,2009,200Cevap
  5. E
    9,4009,400

Cevap

The total number of books in the library's collection at the end of the year is 9,2009,200.
To determine the final quantity after a percent increase, first compute 15%15\% of the initial amount: 0.15×8,000=1,2000.15 \times 8,000 = 1,200. Adding this increase to the original 8,0008,000 books yields 8,000+1,200=9,2008,000 + 1,200 = 9,200. Alternatively, multiply the initial value directly by 1.151.15: 8,000×1.15=9,2008,000 \times 1.15 = 9,200.

Adım Adım Çözüm

1
Calculate the number of additional books added during the year.
15% of 8,000=0.15×8,000=1,20015\% \text{ of } 8,000 = 0.15 \times 8,000 = 1,200
To find the amount of increase, multiply the original total by the percentage increase converted to a decimal.
2
Add the increase to the original number of books to find the final total.
8,000+1,200=9,2008,000 + 1,200 = 9,200
The final total equals the initial quantity plus the percentage increase.

Anahtar Kavram

Percent Increase
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Percentages, Percent Change, and Interest

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