To solve the problem of finding Bina's original monthly salary before a 3% pay cut, let’s break it down step-by-step:
1. Understand the pay cut percentage:
Bina's salary was reduced by 3%.
2. New Salary:
After the 3% reduction, her new salary is given as PKR 3346.50.
3. Pay Cut Factor:
A 3% pay cut means she is now earning 97% of her original salary. This can be represented as a decimal factor:
[tex]\[
\text{Pay Cut Factor} = \frac{97}{100} = 0.97
\][/tex]
4. Relate New Salary to Original Salary:
The new salary (PKR 3346.50) is 97% of her original salary. In equation form:
[tex]\[
\text{New Salary} = \text{Original Salary} \times 0.97
\][/tex]
5. Solve for the Original Salary:
To find the original salary, we need to divide the new salary by the pay cut factor. In equation form:
[tex]\[
\text{Original Salary} = \frac{\text{New Salary}}{\text{Pay Cut Factor}} = \frac{3346.50}{0.97}
\][/tex]
Plugging in the values:
[tex]\[
\text{Original Salary} = \frac{3346.50}{0.97} \approx 3450.00
\][/tex]
Therefore, Bina's original monthly salary was approximately PKR 3450.00.
Let's also address the second part about the car's depreciation:
Every year the value of a car depreciates by 15%. If you want to determine the value of the car after one year, you multiply the current value by 85% (which is 100% - 15% depreciation).
This can be represented as:
[tex]\[
\text{New Value} = \text{Current Value} \times 0.85
\][/tex]
This concept can be applied iteratively each year to find the car's value in subsequent years.
