SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

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

A) 4.6%

B) 4.8%

C) 5.0%

D) 5.2%

Correct Answer: B

Solution :

Let a person invest 4% of x.

\[\therefore \]\[\frac{x\times 4}{100}=\frac{(45000-x)}{100}\times 6\Rightarrow 2x=450000\times 3-3x\]

\[x=\frac{45000\times 3}{5}\]= Rs. 27000

and another part is Rs. 18000.

Interest for 1st part in one year \[=\frac{27000\times 4}{100}\]

= Rs. 1080

Similarly, interest for rest part in one year

= Rs. 1080

\[\because \] Total interest = Rs. 2160

\[\therefore \] \[\frac{45000\times r}{100}=2160\]

\[\Rightarrow \] \[r=\frac{216}{45}=4.8%\]