On a deposit of ₹1,50,000, R gets ₹2,000 as interest on a simple rate of interest in a year. How much amount (in ₹) should he deposit to get an interest of ₹4,500?

For a fixed rate of interest and time period, the simple interest earned is directly proportional to the principal amount deposited.
I∝P⟹
P
1
​

I
1
​

​
=
P
2
​

I
2
​

​

Given:

P
1
​
=₹1,50,000

I
1
​
=₹2,000

I
2
​
=₹4,500

Let the new deposit be P
2
​
:

150000
2000
​
=
P
2
​

4500
​

150
2
​
=
P
2
​

4500
​

2⋅P
2
​
=4500×150
P
2
​
=4500×75=3,37,500
Thus, he should deposit ₹3,37,500.