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The tutor took home Php 5,766 after her monthly wage was reduced by Php 767, which was equivalent to 7%).
* Let's define:
- x = the tutor’s PRE-tax and PRE-bonus wage for the month
- Therefore, we can say that 7 per cent of x has been deducted.
- This means that the general amount given was 0. 07 more than what the tutor received 0. 07 x This, therefore, is the amount the tutor received after the 7 % cut.
* We can write this as:* We can write this as:
- The first value must be calculated as follows: x - 0. 07x = 5,766.
* Solving:
- x − 0. 07x = 5766
- 0. 93x = 5,766
- x = 5,766/0. 93
- x = Six thousand two hundred Pesos
Hence, the tutor’s take home pay before the 7% deduction at the gross level was Php 6,200.
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Answer:
She should get ₱6,200 before the deduction.
Explanation:
In order to know how much the tutor should get before the 7% deduction, we can use the equation below:
x - 0.07x = ₱5,766
where x is the tutor's monthly wage before the deduction of 7% or 0.07 in decimals.
Now, let us simplify and solve for x:
x - 0.07x = ₱5,766
0.93x = ₱5,766
x = ₱5,766/0.93
x = ₱6,200
Therefore, the tutor should get a total of ₱6,200 before the deduction of 7%.