A person invested part of ₹45000 at 4% and the rest at 6%. If his annual income from both are equal.then what is the average rate of interest?

Options

A. 0.046
B. 0.048
C. 0.05
D. 0.052

Answer

B

Explanation

Let a person invest 4% of x.
According to question
` (x xx 4)/100 = ((4500 -x))/100 xx 6`
` Rightarrow 2x = 45000 xx 3 -3x `
` Rightarrow x = ( 45000 xx 3)/5 = ₹ 27000`
Another part is ₹ 18000.
Let r= Average rate of interest
Interest for 1 st Part in one year = `( 27000 xx 4)/100 = ₹ 1080`
Similarly , interest for rest part in one year = 1080
Total interest = ₹ 2160
` ( 4500 xx r)/100 = 2160 `
`Rightarrow r = 216/45 = 4.8 % `