Question

Sanjay gets fixed monthly income. Every year there is a certain increment in his salary. After 4 years, his monthly salary was Rs. 4500 and after 10 years his monthly salary became 5400 rupees, then find his original salary and yearly increment.

Answer 1

Let the fixed monthly income be Rs x.
Annual increament be Rs y.
After 4 years, his monthly salary was Rs. 4500
Monthly salary + annual increament of 4 years = 4500
$x+4y=4500$ .....(I)
After 10 years his monthly salary became 5400 rupees
Monthly salary + annual increament of 10 years = 5400
$x+10y=5400$ .....(II)
(II) $-$ (I)
6y = 900
y = 150
x = 4500 $-$ 150 $\times$ 4 = 3900
Thus, the monthly salary = Rs 3900
Annual increament = Rs 150