A person received a yearly salary hike of 15%, 20%, and 25% in 3 successive years. What is the total salary of the person after 3 years if his initial salary was Rs. 20,000?

Let the final salary after 3 years be S.
Initial salary (P) = Rs. 20,000
Successive growth rates are 15%, 20%, and 25%.

The formula for successive compounded growth is:

S=P×(1+
100
R
1
​

​
)×(1+
100
R
2
​

​
)×(1+
100
R
3
​

​
)
Substituting the given values:

S=20,000×(1+
100
15
​
)×(1+
100
20
​
)×(1+
100
25
​
)
S=20,000×
100
115
​
×
100
120
​
×
100
125
​

S=20,000×
20
23
​
×
5
6
​
×
4
5
​

Canceling common factors:

S=20,000×
20×5×4
23×6×5
​

S=20,000×
400
138
​

S=50×138=34,500
Thus, the final salary of the person after 3 years is Rs. 34,500.