SSC CPO 2023 PYQ — Question 113

The correct answer is Option 4 i.e. 66$\frac{2}{3}$%.

30% of R = 40% of S

then 50% of R's income

⇒ 30% of R = 40% of S

⇒ 30/100 × R = 40/100 × S

⇒ 0.3 × R = 0.4 × S

Now, to find what percentage of Suresh's income and 50% of Ravi's income is equal, we need to find:

⇒ (50% × R)/S

We already know that 0.30 × R = 0.40 × S 

⇒ $R = \frac{0.40 \times S}{0.30}$

Now, let's plug this into the expression for $\frac{50\% \times R}{S}$:

⇒ $\frac{50\% \times R}{S} = \frac{0.50 \times \frac{0.40 \times S}{0.30}}{S}$ 

⇒ $\frac{0.50 \times 0.40}{0.30}$

⇒ $\frac{0.20}{0.30}$ = $\frac{2}{3}$

To express this as a percentage, we multiply by 100:

⇒ $\frac{2}{3} \times 100\% = 66.\overline{6}\%$ Or 66$\frac{2}{3}$%