`55% " of " 1000 divide 60% " of " 2000 =?`

Options

A. `(11)/(24)`
B. `(12)/(25)`
C. `(13)/(24)`
D. `(14)/(25)`

Explanation

To solve the question \( 55\% \text{ of } 1000 \div 60\% \text{ of } 2000 \), we will follow these steps:

### Step 1: Calculate 55% of 1000
To find 55% of 1000, we use the formula:
\[ \text{Percentage} \times \text{Total} = \frac{55}{100} \times 1000 \]
Calculating this gives:
\[ \frac{55 \times 1000}{100} = 550 \]

### Step 2: Calculate 60% of 2000
Next, we calculate 60% of 2000 using the same formula:
\[ \text{Percentage} \times \text{Total} = \frac{60}{100} \times 2000 \]
Calculating this gives:
\[ \frac{60 \times 2000}{100} = 1200 \]

### Step 3: Divide the results from Step 1 and Step 2
Now, we divide the result from Step 1 by the result from Step 2:
\[ \frac{550}{1200} \]

### Step 4: Simplify the fraction
We can simplify \( \frac{550}{1200} \) by dividing both the numerator and the denominator by 50:
\[ \frac{550 \div 50}{1200 \div 50} = \frac{11}{24} \]

### Final Answer
Thus, the answer to the question \( 55\% \text{ of } 1000 \div 60\% \text{ of } 2000 \) is:
\[ \frac{11}{24} \]

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