Answer:
Option d. (also option e depending on which way you want to calculate it)
Explanation:
First, I should point out that percentage basically means 'out of one hundred' so 25% means '25 out of one hundred.' The value of the percentage increase = 25% × 865. The new value = 865 + The value of the percentage increase.
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More Simple Explanation:
Alright, so this might not be a super 'mathematical' trick or related to this question but it still works. Basically we just have to convert 25% into a decimal which I do by moving the decimal point 2 numbers to the left. (Since we cannot see the decimal point in the percentage we automatically know that it stays at the end of 25 a.k.a 25.0) So now our number becomes 0.25 (we got rid of the percentage symbol). Now we just multiply 865 by 0.25 to get our answer!
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More Mathematical Process *Basically the value and random useless stuff to know lol because my math teacher showed me this and I thought I needed to add this*:
1) Calculate the new value of the number increased by percentage of its initial value
The new value =
865 + The value of the percentage increase =
865 + (25% × 865) =
865 + 25% × 865 =
(1 + 25%) × 865 =
(100% + 25%) × 865 =
125% × 865 =
125 ÷ 100 × 865 =
125 × 865 ÷ 100 =
108,125 ÷ 100 =
1,081.25
2) Calculate the actual change (the difference) between the new value and the initial one
The actual change =
The new value - 865 =
1,081.25 - 865 =
216.25
(For positive numbers, the actual change = The value of the percentage increase)