SSC MTS 2024 PYQ — Question 7

The correct answer is option 3 i.e 13$\frac{1}{3}\%$.

Let Principal = P

Since SI = (2/3)P, Amount = P + (2/3)P = (5/3)P

So,

(5/3)P = 10,800 ⇒ P = (10,800 × 3) ÷ 5 = ₹6,480

Now, SI = 10,800 - 6,480 = ₹4,320

SI = (P × R × T) / 100 ⇒ 4,320 = (6,480 × R × 5) / 100 ⇒ 4,320 = (32,400 × R) / 100

⇒ 4,320 × 100 = 32,400 × R ⇒ 4,32,000 = 32,400 × R

⇒ R = 4,32,000 ÷ 32,400 = 13$\frac{1}{3}\%$