Mr john spends 1/4 of his monthly salary on the repayment of a housing loan.of the remainder he spends 1/5 on food and the pub bill,and puts aside 1/10 for transport costs .this leaves him with $630 a month.what is his monthly salary?plz show the steps
let his salary be $ x
after spending 1/4 on housing loan he has
3x/4 left
of that he spends 1/5 on food, leaving his with
(4/5)(3x/4) = 12x/20
Now your next statement is not clear, does he spend 10% of his remaining salary, or 10% of the original ?
continuing the process based on the remaining...
after spending 10% or 1/10 on transportation cost
the leaves him with (9/10)((12x/20) which is 630
108x/200 = 630
x = 630(200/108) = $ 1166.67
check:
spends 1/4 on loans
leaves him with $875
spends 1/5 of that on food and pubs (should stay out of the pub, he can't afford it)
leaves him with : $700
spends 1/10 of that on transportation, leaving him with
.9(700) = $630
thank u so much actually I don't know if it is from original or remaining cause this is from holiday homework
thank u soooooooooooooooooo much
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To find Mr. John's monthly salary, we'll need to backtrack the calculations given in the question.
Let's assume Mr. John's monthly salary as 'X'.
Step 1: Mr. John spends 1/4 of his monthly salary on housing loan repayment.
So, the amount he spends on housing loan repayment = 1/4 * X = X/4
After spending on housing loan repayment, Mr. John is left with 3/4 of his monthly salary:
Remaining salary = X - X/4 = (4X - X)/4 = 3X/4
Step 2: Mr. John spends 1/5 of the remaining salary on food and the pub bill.
So, the amount he spends on food and the pub bill = (1/5) * (3X/4) = (3X/4) * (1/5) = 3X/20
After spending on food and the pub bill, Mr. John is left with 4/5 of the remaining salary:
Remaining salary = (3X/4) - (3X/20) = (15X/20) - (3X/20) = 12X/20 = 3X/5
Step 3: Mr. John puts aside 1/10 of the remaining salary for transport costs.
So, the amount he puts aside for transport costs = (1/10) * (3X/5) = (3X/5) * (1/10) = 3X/50
After putting aside for transport costs, Mr. John is left with (1 - 1/10) = 9/10 of the remaining salary:
Remaining salary = (3X/5) - (3X/50) = (30X/50) - (3X/50) = 27X/50
Step 4: The remaining amount is given as $630.
So, (27X/50) = $630
To find X, we'll solve the equation for X:
27X/50 = 630
27X = 630 * 50
27X = 31500
X = 31500 / 27
X ≈ $1166.67
Therefore, Mr. John's monthly salary is approximately $1166.67.