Directions: Study the table carefully and answer the given questions. Number of pages printed by 5 printers during 5 days | Printers $\rightarrow$
Days $\downarrow$ | A | B | C | D | E | | :--- | :--- | :--- | :--- | :--- | :--- | | Monday | 139 | 147 | 211 | 141 | 184 | | Tuesday | 141 | 189 | 164 | 189 | 151 | | Wednesday | 115 | 141 | 159 | 156 | 136 | | Thursday | 89 | 223 | 120 | 147 | 113 | | Friday | 187 | 93 | 257 | 160 | 124 | The number of pages printed by printer E on Monday is what percent more than the number of pages printed by printer C on Thursday?

Aptitude Statistics Difficulty: Medium
Choose an option
  • A
    $60\frac{1}{3}$
  • B
    $51\frac{2}{3}$
  • C
    $45\frac{2}{3}$
  • D
    $53\frac{1}{3}$
  • E
    $55\frac{1}{3}$

Answer

Correct Answer: $53\frac{1}{3}$

Explanation

### Concept & Percentage Increase To find how much more one value is than another in percentage terms, divide the difference by the base value (the "than" value) and multiply by 100. $$ \text{Percentage More} = \left( \frac{\text{Difference}}{\text{Base Value}} \right) \times 100 $$ ### Step-by-Step Solution 1. **Extract the relevant values:** - Printer E on Monday = $184$ - Printer C on Thursday = $120$ 2. **Calculate the difference:** - $\text{Difference} = 184 - 120 = 64$ 3. **Calculate the percentage relative to C on Thursday:** - $\text{Percentage} = \left(\frac{64}{120}\right) \times 100$ 4. **Simplify the fraction:** - Divide by $8$: $\frac{64}{120} = \frac{8}{15}$ - Calculate: $\frac{8}{15} \times 100 = \frac{800}{15} = \frac{160}{3}$ 5. **Convert to mixed fraction:** - $160 \div 3 = 53$ with a remainder of $1$. - The percentage is $53\frac{1}{3}\%$. ### Exam Strategy & Shortcut Simplify the ratio first: $184 : 120 = 46 : 30 = 23 : 15$. The difference in ratio units is $23 - 15 = 8$. The percentage more is $\frac{8}{15} \times 100$. Knowing $\frac{1}{15} \approx 6.66\%$, then $8 \times 6.66\% \approx 53.33\%$, which corresponds to $53\frac{1}{3}\%$. ### Common Pitfall Using the wrong base value. The phrase "more than ... C on Thursday" means the value for C on Thursday ($120$) must be the denominator. ### Final Answer Therefore, the correct answer is **$53\frac{1}{3}$**.
Discussion & Comments
No comments yet. Be the first to comment!
Join Discussion