Every month Rani gives 65% of her salary to her mother. She spends 15% of her salary and saves the remainder. She saves $130 more than what she spends. What is her monthly salary?
Question
Every month Rani gives 65% of her salary to her mother. She spends 15% of her salary and saves the remainder. She saves $130 more than what she spends. What is her monthly salary?
Solution
Let's denote Rani's monthly salary as S.
According to the problem, Rani gives 65% of her salary to her mother, spends 15% of her salary, and saves the rest. This means that she saves 100% - 65% - 15% = 20% of her salary.
The problem also states that she saves 130.
We can set up the following equation to solve for S:
0.20S = 0.15S + 130
Subtract 0.15S from both sides of the equation to isolate the variable on one side:
0.20S - 0.15S = 130 0.05S = 130
Finally, divide both sides of the equation by 0.05 to solve for S:
S = 130 / 0.05 S = $2600
Therefore, Rani's monthly salary is $2600.
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