After spending 80% of his income and giving 10% of the remainder in a charity a man has rs 46260 left with him. Find his income
Answers
Answer:
Step-by-step explanation:
Let income of a man be x that is 100% of his income.
Now, he spends 80% of his income. So, the remaining income is 100%−80%=20%
Now, man gave 10% of the remaining income in a charity that is 10/100×20=2% that means man gave 2% of his total income in a charity.
So, the total percentage of income man spends and gives in charity is 80%+2%=82% .
Now, percentage of income left 100%−82%=18%
So, the man has Rs.46260 that is 18% of his total income.
⇒18100×x=46260
⇒x=462600018
⇒x=257000
So, the income of man is Rs.2, 57,000
Note-Whenever we face such types of problems we use some important points. First we assume the 100% income is x then find the total percentage of income spent by man and also calculate the percentage of left income. We know the percentage of left income is equal to the amount left.
Step-by-step explanation:
Given :-
After spending 80% of his income and giving 10% of the remainder in a charity a man has Rs. 46260 left with him.
To find :-
Find his income ?
Solution :-
Let the income of the man be Rs. X
Money spent by him = 80% of his income
=> 80% of X
=> (80/100)×X
=> (4/5)×X
=> 4X/5
Money spent by him = Rs. 4X/5
Remaining money = X-(4X/5)
=> (5X-4X)/5
=> X/5
Remaining money = Rs. X/5
Money given to the charity = 10% of the remaining
=> 10% of X/5
=> 10% × (X/5)
=> (10/100) × (X/5)
=> (1/10)×(X/5)
=> X/(10×5)
=> X/50
Money given to the charity = Rs. X/50
Remaining money = (X/5) -(X/50)
LCM of 5 and 50 = 50
=> (10X-X)/50
=> 9X/50
He was left with Rs. 9X/50
According to the given problem
The money left worh him = Rs. 46260
=> 9X/50 = 46260
=> 9X = 46260×50
=> 9X = 2313000
=> X = 2313000/9
=> X = 257000
The income = Rs. 257000
Answer:-
The income of the man is Rs. 257000
Check :-
Income of the man = Rs. 257000
Money spent = 80% of 257000
=> (80/100)×257000
=> (80×257000)/100
=> 80×2570
=>205600
Remaining money = 257000-205600
=> Rs. 51400
Money given to the charity = 10% of 51400
=> (10/100)×51400
=> 51400/10
=> 5140
Remaining money = 205600-5140
=> Rs. 46260
Verified the given relations in the given problem.