SSC CGL 2026 PYQ — Question 27

The correct answer is Option 1 i.e. 16%.  

Time = 1 year 6 months = 3/2 years

Compounded half-yearly ⇒ n = 3 half-years

Half-yearly rate = r%

$A = P \left(1 + \frac{r}{100}\right)^n$

⇒ $19683 = 15625 \left(1 + \frac{r}{100}\right)^3$

⇒ $\left(1 + \frac{r}{100}\right)^3 = \frac{19683}{15625}= \left( \frac{27}{25} \right)^3$

⇒ 1 + r/100 = 27/25

⇒ r/100 = 27/25 - 1 = 2/25

⇒ r/4 = 2

⇒ r = 8% half yearly = 16% annualy