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Amy spends 70% of her income on household expenditure, 60% of the remaining on the education of her children and then 40% of the remaining is given to her old mother. Finally, she has US $576 in her hand. Her salary is __________.
a. US $6000
b. US $8000
c. US $9000
d. US $10000
Read Solution (Total 8)
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- 70% of x=0.7x ,remaining amount=0.3x
60% of 0.3x=0.18x ,remaining amount =0.3-0.18=0.12x
40% of 0.12x=0.048 x,remaining amount=0.072x
0.072x=576
x=8000 - 12 years agoHelpfull: Yes(44) No(1)
- there is a shortcut
if 70% expenditure then write it as 100%(100-30)
if 70% income then write it as 100%(100+70)
so according to this
(100%30)*(100%40)*(100%60)*576=8000 - 12 years agoHelpfull: Yes(8) No(2)
- ans:b
8000
- 12 years agoHelpfull: Yes(5) No(1)
- ans is b ....8000
- 12 years agoHelpfull: Yes(5) No(1)
- let her income be x
1)then income left after household expenditure = 3x/10
2)income left after educational expenditure of children = (3x/10)*4/10 = 12x/100
3)money left after giving to her mother = (12x/100)*60/100 = 72x/1000
4)this is equal to 576 so ==>72x/100 = 576 ==> x=(576000/72) = 8000
5)hence her salary is $8000 - 12 years agoHelpfull: Yes(4) No(0)
- Let her total salary be x,then
70% of x=0.7x (expenditure),remaining amount=0.3x
60% of 0.3x=0.18x (education),remaining amount =0.3-0.18=0.12x
40% of 0.12x=0.048x(old mother),remaining amount=0.072x
given that money left=$576
therefore 0.072x=576
x=(576000)/72
x=8000 - 12 years agoHelpfull: Yes(3) No(0)
- ans $8000
let his salary be 100 so finally he left with 7.2
so for 576 we get (576*100)/7.2 we get 8000 - 12 years agoHelpfull: Yes(2) No(0)
- can u plz explain the method?
- 12 years agoHelpfull: Yes(0) No(4)
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