Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Percentage |
Grade: 8-a Lesson: S1-L4 |
Explanation: Let us verify the answer here with the steps. |
Description:
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
A person multiplied a number by \$2/4\$ instead of \$4/2\$, What is the percentage error in the calculation? |
|
2 |
Clue |
Percentage error implies percentage |
Divided by 100 |
3 |
Hint |
Operator used : Percentage |
% |
4 |
Formula: |
Percentage Error |
\$("error"/"True value") \times 100\$ |
5 |
Step |
Let the number be |
x |
6 |
Step |
x is mistakenly multiplied by |
\$2/4 = (2x)/4\$ |
7 |
Step |
x should be multiplied by |
\$4/2 = (4x)/2\$ |
8 |
Step |
Thus, the error will be |
\$(4x)/2\$ - \$(2x)/4\$ = \$(3x)/2\$ |
9 |
Step |
Percentage Error |
\$"error"/"True value"\$ 100 |
10 |
Step |
Percentage Error |
\$((3x)/2)/((4x)/2)\$ x 100 |
11 |
Step |
Percentage Error |
\$((3\cancelx^1)/\cancel2^1) \times (\cancel2^1/\(cancel4^1\cancelx^1)) \times \cancel100^25\$ |
12 |
Step |
Hence, the percentage Error is |
\$20\$ |
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