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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?

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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 130morethanwhatshespends.Sinceshespends15130 more than what she spends. Since she spends 15% of her salary, this means that 20% of her salary is equal to 15% of her salary plus 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.

This problem has been solved

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