1. Out of his total monthly income Mr. moti spends 20% on house rent and 60% of the rest on household expenses. if he saves RS 2520 per month, What is his monthly income .
Answers
Given :-
Out of his total monthly income Mr. Moti spends 20% on house rent and 60% of the rest on household expenses.
He saves Rs. 2520 per month
To find :-
His monthly income .
Solution :-
Let the monthly income of Mr.Moti be
Rs. X
Money spent on house rent
= 20% of the income
= 20% of Rs.X
= 20% ×X
= (20/100)×X
= (1/5)×X
= (1×X)/5
= Rs. X/5
Remaining money = X-(X/5)
= (5X-X)/5
= Rs. 4X/5
Money spent on household expenses
= 60% of the rest of the income
= 60% of Rs. 4X/5
= 60% × 4X/5
= (60/100)×(4X/5)
= (3/5) ×(4X/5)
= (3×4X)/(5×5)
= Rs. 12X/25
The total money spent on his expenditures
= Money on house rent+household expenses
= (X/5)+(12X/25)
LCM of 5 and 25 = 25
= (5X+12X)/25
= Rs. 17X/25
We know that
Savings = Income - Expenditure
=> Savings = X-(17X/25)
=> Savings = (25X-17X)/25
=> Savings = Rs. 8X/25
Therefore, He saves Rs. 8X/25
According to the given problem
Saving money = Rs. 2520
=> 8X/25 = 2520
=> 8X = 2520×25
=> X = 2520×25/8
=> X = 315×25
=> X = Rs. 7875
Answer :-
The monthly income of Mr.Moti is
Rs. 7875
Check :-
Monthly income = Rs. 7875
Money spent on house rent = 20% of 7875
=> (20/100)×7875
=> (1/5)×7875
=> 7875/5
=> Rs. 1575
Remaining money = 7875-1575
= Rs. 6300
Money spent on household expenses
= 60% of the rest of the money
= 60% × 6300
= (60/100)×6300
= 60×63
= Rs. 3780
Total expenditure = 1575+3780
= Rs. 5355
His savings = 7875-5355 = Rs. 2520
Verified the given relations in the given problem.
Step-by-step explanation:
Given :-
Out of his total monthly income Mr. Moti spends 20% on house rent and 60% of the rest on household expenses.
He saves Rs. 2520 per month
To find :-
His monthly income .
Solution :-
Let the monthly income of Mr.Moti be
Rs. X
Money spent on house rent
= 20% of the income
= 20% of Rs.X
= 20% ×X
= (20/100)×X
= (1/5)×X
= (1×X)/5
= Rs. X/5
Remaining money = X-(X/5)
= (5X-X)/5
= Rs. 4X/5
Money spent on household expenses
= 60% of the rest of the income
= 60% of Rs. 4X/5
= 60% × 4X/5
= (60/100)×(4X/5)
= (3/5) ×(4X/5)
= (3×4X)/(5×5)
= Rs. 12X/25
The total money spent on his expenditures
= Money on house rent+household expenses
= (X/5)+(12X/25)
LCM of 5 and 25 = 25
= (5X+12X)/25
= Rs. 17X/25
We know that
Savings = Income - Expenditure
=> Savings = X-(17X/25)
=> Savings = (25X-17X)/25
=> Savings = Rs. 8X/25
Therefore, He saves Rs. 8X/25
According to the given problem
Saving money = Rs. 2520
=> 8X/25 = 2520
=> 8X = 2520×25
=> X = 2520×25/8
=> X = 315×25
=> X = Rs. 7875
Answer :-
The monthly income of Mr.Moti is
Rs. 7875
Check :-
Monthly income = Rs. 7875
Money spent on house rent = 20% of 7875
=> (20/100)×7875
=> (1/5)×7875
=> 7875/5
=> Rs. 1575
Remaining money = 7875-1575
= Rs. 6300
Money spent on household expenses
= 60% of the rest of the money
= 60% × 6300
= (60/100)×6300
= 60×63
= Rs. 3780
Total expenditure = 1575+3780
= Rs. 5355
His savings = 7875-5355 = Rs. 2520
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