75 percentage of a number is added to 75,the result is the number again.find the number.
Answers
Answer:
The number is 300.
Step-by-step explanation:
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Step-by-step explanation:
Given :-
75% of a number is added to 75,the result is the number again.
To find :-
Find the number ?
Solution :-
Let the number be X
75% of the number = 75% of X
=> 75% × X
=> (75/100)×X
=> (3/4)×X
=> (3×X)/4
=> 3X/4
On adding 75 to the 75% of the number
=> (3X/4)+75
=> (3X+300)/4
According to the given problem
75% of a number is added to 75 then the result is the number again.
=> (3X+300)/4 = X
=> 3X +300 = X×4
=> 3X+300 = 4X
=> 300 = 4X-3X
=> 300 = X
=> X = 300
Therefore, X = 300
Answer:-
The required number for the given problem is 300
Check:-
The number = 300
75% of the number = 75% × 300
=> (75/100)×300
=> 75×3
=> 225
Now,
On adding 75 to the result
=> 225+75
=> 300
=> The number again
Verified the given relations in the given problem.