SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

A sum of Rs. 1750 is divided into two parts such that the interests on the first part at 8% simple interest per annum and that on the other part at 6% simple interest per annum are equal. The interest on each part (in Rs.) is

A) 60

B) 65

C) 70

D) 40

Correct Answer: A

Solution :

Let first part = Rs. x

and second part = Rs. \[(1750-x)\]

According to the question,

\[x\times \frac{8}{100}=(1750-x)\times \frac{6}{100}\]

\[\Rightarrow \]\[8x+6x=1750\times 6\]

\[\Rightarrow \]\[14x=1750\times 6\]

\[\Rightarrow \]\[x=\frac{1750\times 6}{14}\]= Rs. 750

\[\therefore \] Interest = 8% of Rs. 750\[=750\times \frac{8}{100}\]= Rs. 60