a man spent 20% of his monthly earning on house rent out of the balance,he spent 75% on the other house expenses.if we had a balance of rupees 250 at the end of the month the monthly earning of the man in rupees
Answers
Answer:
Let total income be x ra
Then, 25%of 80%of x= 250 rs
According to this question
25/100×80/100×x=250
Then x=250×5= rs 1250
Step-by-step explanation:
Given:
Spending on house rent=20%
Spending on house expenses=75% of the balance
Balance at the end of the month=Rs.250
To find:
The monthly earning of the man in rupees
Solution:
The monthly earning of the man in rupees is 1,250.
We can find the earnings by following the given steps-
Let us assume that the monthly earning of the man is Rs. X.
Now, we know that he spent 20% of his earnings on rent.
So, the remaining amount=Total earnings- spending on rent
=X-20% of X
=X-20X/100
=80X/100
The man spends 75% of the remaining balance on other expenses of his house.
So, the amount spent on other expenses=75% of 80X/100
=75/100 of 80X/100
=3/4×8X/10
=6X/10
Now, the balance remaining at the end of the month=80X/100-6X/10
=8X/10-6X/10
=2X/10
=X/5
This amount is equal to Rs.250.
On equating, we get
X/5=250
X=250×5
X=1,250
Therefore, the monthly earning of the man in rupees is 1,250.