A man gets 15% hike in his salary.if his new salary is 16100, what was his original salary? plz tell how we get 115
Answers
Step-by-step explanation:
Given :-
A man gets 15% hike in his salary.
To find:
If his new salary is 16100, what was his original salary?
Solution:-
Let his original salary be Rs. X
Hike percentage of his salary = 15%
Hike in salary = 15% of original salary
=>15% × X
=> (15/100)×X
=> (3/20) ×X
=> 3X/20
Hike in his salary = Rs. 3X/20
His new salary = Original salary + Hike in his salary
=> X + (3X/20)
=> (20X+3X)/20
=> 23X/20
His new salary = Rs. 23X/20
According to the given problem
His new salary = Rs. 16100
=> 23X/20 = 16100
=> 23X = 16100×20
=> 23X = 322000
=> X = 322000/23
=> X = 14000
His salary = Rs. 14000
Alternative method:-
Let the original salary be Rs. 100
Hike = 15%
So , new salary = 100+15 = Rs. 115
Given new salary = Rs. 16100
So, 115 parts = 16100
1 part = 16100/115 = 140
Original salary = 100 × 140 =Rs. 14000
Answer:-
His Original salary for the given problem is Rs. 14000
Check:-
Original salary = Rs. 14000
Hike in salary = 15%
=> 15% of 14000
=> (15/100)×14000
=> 15×140
=> 2100
New salary = Original salary+Hike
=> 14000+2100
=>Rs. 16100
Verified the given relations in the given problem.
Answer:
14000. ..................