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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Let her monthly salary be $ x
Salary given away to mother = 65% of x = $ 65x/100
Salary spent by her = 15% of x = $ 15x/100 = 3x/20
Therefore total salary spent = (65x+15x)/100 = $ 4x/5
Amount saved = 3x/20 + 130 = $ (3x+2600)/20
But amount saved = Monthly salary - Total expense
=> (3x+2600)/20 = x - 4x/5
=> (3x+2600)/20 = (5x-4x)/5
=> 3x+2600 = 4x
=> 2600 = 4x-3x
=> x = $ 2600
Salary given away to mother = 65% of x = $ 65x/100
Salary spent by her = 15% of x = $ 15x/100 = 3x/20
Therefore total salary spent = (65x+15x)/100 = $ 4x/5
Amount saved = 3x/20 + 130 = $ (3x+2600)/20
But amount saved = Monthly salary - Total expense
=> (3x+2600)/20 = x - 4x/5
=> (3x+2600)/20 = (5x-4x)/5
=> 3x+2600 = 4x
=> 2600 = 4x-3x
=> x = $ 2600
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