$x$ + 30.01% of 651 ÷ 25.05% of 59.98 = 135

### Concept & Strategy This is an approximation problem standard in banking exams. The core strategy is to round the awkward decimal values to their nearest clean integers or easy fractions before applying the standard BODMAS/PEMDAS order of operations. ### Step-by-Step Solution * **Given**: $x + 30.01\% \text{ of } 651 \div 25.05\% \text{ of } 59.98 = 135$ * **Calculation**: 1. Approximate the values to the nearest whole numbers: $30.01\% \approx 30\%$ $651 \approx 650$ $25.05\% \approx 25\%$ $59.98 \approx 60$ 2. Rewrite the simplified equation: $$x + (30\% \text{ of } 650) \div (25\% \text{ of } 60) = 135$$ 3. Calculate the individual percentage brackets: $30\%$ of $650 = 0.3 \times 650 = 195$ $25\%$ of $60 = \frac{1}{4} \times 60 = 15$ 4. Substitute back into the equation, following BODMAS (Division before Addition): $$x + (195 \div 15) = 135$$ 5. Perform the division: $$195 \div 15 = 13$$ 6. Solve for $x$: $$x + 13 = 135$$ $$x = 135 - 13$$ $$x = 122$$ ### Exam Strategy & Shortcut For approximation questions, never calculate exact decimals. Instantly convert $25.05\%$ to the fraction $\frac{1}{4}$ and $59.98$ to $60$. The mental math becomes $\frac{1}{4}$ of $60 = 15$. For $30\%$ of $650$, just multiply $3 \times 65 = 195$. The equation simplifies in seconds to $x + \frac{195}{15} = 135$, bypassing any need for scrap paper. ### Common Pitfall The most common trap is ignoring the order of operations (BODMAS). Students might try to add $x$ to $195$ before dividing by $15$, which fundamentally breaks the algebraic structure. Always resolve the `of` first, then `division`, then `addition`. ### Final Answer **Therefore, the correct answer is 122.**