SSC CGL Tier I 12 Sep 2025 Shift 3 Paper

Concept:When multiple expressions are equal, set them equal to a common variable and solve for each term in the ratio.Explanation:Step 1: Write all given equalities as equations.$40\%$ of $P = 0.5$ of $Q = \frac{2}{7}$ of $R$.Convert percentages and decimals: $40\% = \frac{40}{100} = \frac{2}{5}$, $0.5 = \frac{1}{2}$.So, $\frac{2}{5}P = \frac{1}{2}Q = \frac{2}{7}R$.Step 2: Let the common value be $k$.$\frac{2}{5}P = k \Rightarrow P = \frac{5}{2}k$$\frac{1}{2}Q = k \Rightarrow Q = 2k$$\frac{2}{7}R = k \Rightarrow R = \frac{7}{2}k$Step 3: Write the ratio $P : Q : R = \frac{5}{2}k : 2k : \frac{7}{2}k$.Multiply each term by $2$ to eliminate fractions: $5k : 4k : 7k$.Cancel $k$ (since $k \neq 0$): $5 : 4 : 7$.Step 4: Compare with the options. Multiply the ratio $5:4:7$ by $7$ to get $35:28:49$, which matches option A.Answer:$35 : 28 : 49$, Option A.