Anisa and Raj get the same salary. Every month Anisa saves 7/8 of her salary while Raj saves 5/6 of his salary. Every year Anisa saves $1920 more than Raj. Find the monthly salary of Anisa.
Anisa and Raj get the same salary. Every month Anisa saves 7/8 of her salary while Raj saves 5/6 of his salary. Every year Anisa saves $1920 more than Raj.
Explanation
Let the salary of Anisa and Raj be X
Anisa
Salary saved = 7/8 times of her salary
[tex]=\frac{7}{8} *x = \frac{7x}{8}[/tex]
Raj
Salary saved = 5/6 times of her salary
[tex]=\frac{5}{6} *x = \frac{5x}{6}[/tex]
Every year Anisa saves $1920 more than Raj.
Or [tex]\frac{7x}{8} - \frac{5x}{6}[/tex][tex]= 1920[/tex]
Answers & Comments
Answer:
Anisha saves = 1920$ more than raj
7/8 minus 5/6 = 1.05
1.05 = 1920$
100 ÷ 1.05 =95.2380952381
1.05 × 95.2380952381 = 100
1920 × 95.2380952381 = 182857.142857
THERE SALLARY = 182857 . 142857$
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Verified answer
Answer:
$46080
Given
Anisa and Raj get the same salary. Every month Anisa saves 7/8 of her salary while Raj saves 5/6 of his salary. Every year Anisa saves $1920 more than Raj.
Explanation
Let the salary of Anisa and Raj be X
Anisa
Salary saved = 7/8 times of her salary
[tex]=\frac{7}{8} *x = \frac{7x}{8}[/tex]
Raj
Salary saved = 5/6 times of her salary
[tex]=\frac{5}{6} *x = \frac{5x}{6}[/tex]
Every year Anisa saves $1920 more than Raj.
Or [tex]\frac{7x}{8} - \frac{5x}{6}[/tex][tex]= 1920[/tex]
Taking LCM
[tex]\frac{21x-20x}{24} =1920\\\\x =1920 *24 = 46080[/tex]
Salary Of Anisa = $46080
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