4. If Radha's income is 30% more than Raghu's, how much percent is Raghu's income is less than Radha's?
Answers
Answer:
Raghu's income is 30% less than radha's
Step-by-step explanation:
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Step-by-step explanation:
Given :-
Radha's income is 30% more than Raghu's,
To find :-
How much percent is Raghu's income is less than Radha's?
Solution :-
Let the income of Raghu be Rs. X
Then
The income of Radha = 30% more than that if Raghu's
=> X+30% of X
=> X+30% ×X
=> X+(30/100)×X
=> X +(3/10)×X
=> X+(3X/10)
=> (10X+3X)/10
=> 13X/10
Radha's income = Rs. 13X/10
Raghu's income = Rs. X
The difference = (13X/10)-X
=> (13X-10X)/10
=> 3X/10
Rs. 3X/10 is more than Raghu's income.
Now
The percentage is Raghu's income is less than that of Radha
=>(Difference in the incomes/Radha's income) ×100
=> [(3X/10)/(13X/10)]×100
=> [(3X/10)×(10/13X)] ×100
=> (3X/13X)×100
=> (3/13)×100
=> (3×100)/13
=> 300/13% or 23.08%
Answer:-
300/13 % or 23.08% is Raghu's income is less than that of Radha