Step-by-step explanation:
According to the first condition,
Let the initially monthly salary be 100x
Initially spend = (100x) × 80% = 80x
Initially saving = 100x - 80x = 20x
According to the second condition,
Increased monthly salary = 120% × 100x = 120x
Now, spend = 120% × 80x = 96x
Saving = 120x - 96x = 24x
The percentage increase in his savings
⇒
⇒ 20%
Answer:
ChatGPT
Let's assume Jack's salary in November was "x" dollars.
In November, Jack spent 80% of his monthly salary, which means he saved 20% of his salary. Therefore, the amount he saved in November is 0.2x dollars.
In December, Jack's monthly salary increased by $900, so his new salary is "x + 900" dollars.
In December, Jack saved 15% of his new monthly salary, which means he saved 0.15(x + 900) dollars.
Since Jack saved the same amount of money in both November and December, we can set up the following equation:
0.2x = 0.15(x + 900)
Now, let's solve this equation to find the value of x, which represents Jack's salary in November:
0.2x = 0.15x + 0.15(900)
0.2x = 0.15x + 135
0.2x - 0.15x = 135
0.05x = 135
x = 135 / 0.05
x = 2700
Therefore, Jack's salary in November was $2700.
To find his salary in December, we can substitute this value back into the equation:
x + 900 = 2700 + 900
x + 900 = 3600
Hence, Jack's salary in December was $3600.
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Answers & Comments
Step-by-step explanation:
According to the first condition,
Let the initially monthly salary be 100x
Initially spend = (100x) × 80% = 80x
Initially saving = 100x - 80x = 20x
According to the second condition,
Increased monthly salary = 120% × 100x = 120x
Now, spend = 120% × 80x = 96x
Saving = 120x - 96x = 24x
The percentage increase in his savings
⇒
⇒
⇒
⇒ 20%
Answer:
ChatGPT
Let's assume Jack's salary in November was "x" dollars.
In November, Jack spent 80% of his monthly salary, which means he saved 20% of his salary. Therefore, the amount he saved in November is 0.2x dollars.
In December, Jack's monthly salary increased by $900, so his new salary is "x + 900" dollars.
In December, Jack saved 15% of his new monthly salary, which means he saved 0.15(x + 900) dollars.
Since Jack saved the same amount of money in both November and December, we can set up the following equation:
0.2x = 0.15(x + 900)
Now, let's solve this equation to find the value of x, which represents Jack's salary in November:
0.2x = 0.15x + 0.15(900)
0.2x = 0.15x + 135
0.2x - 0.15x = 135
0.05x = 135
x = 135 / 0.05
x = 2700
Therefore, Jack's salary in November was $2700.
To find his salary in December, we can substitute this value back into the equation:
x + 900 = 2700 + 900
x + 900 = 3600
Hence, Jack's salary in December was $3600.