SSC GD 2024 PYQ — Question 46

The correct answer is option 1 i.e. 36%.

Income of L is 30% more than the income of M.

Income of M is 20% more than the income of N.

The incomes of L, M, and N by ( I_L), ( I_M), and ( I_N), respectively.

⇒ I_L = I_​​​M + 0.30 × I_M = 1.30 × I_M

⇒ I_M = I_N + 0.20 × I_N = 1.20 × I_N

⇒ I_​L = 1.30 × (1.20 × I_N) = 1.56 × I_N

⇒Percentage less = $\left( \frac{I_L - I_N}{I_L} \right) \times 100$

⇒ Percentage less = $\left( \frac{1.56 \times I_N - I_N}{1.56 \times I_N} \right) \times 100 = \left( \frac{0.56 \times I_N}{1.56 \times I_N} \right) \times 100$

⇒ Percentage less = $\left( \frac{0.56}{1.56} \right) \times 100 \approx 35.9$ = 36 %