`37(1)/(2)%` of `Rs.480+12(1)/(2)%` of `Rs.800-33(1)/(3)%` of `Rs.300=?`

Options

A. Rs. `200`
B. Rs. `150`
C. Rs. `250`
D. Rs. `180`

Answer

To solve the question step by step, we need to calculate each percentage of the given amounts and then combine them according to the operations specified (addition and subtraction).

### Step 1: Calculate 37.5% of Rs. 480
37.5% can be expressed as a fraction:
\[ 37.5\% = \frac{37.5}{100} = \frac{75}{200} = \frac{3}{8} \]
Now, calculate \( \frac{3}{8} \) of Rs. 480:
\[ \frac{3}{8} \times 480 = \frac{3 \times 480}{8} = \frac{1440}{8} = 180 \]

### Step 2: Calculate 12.5% of Rs. 800
12.5% can be expressed as a fraction:
\[ 12.5\% = \frac{12.5}{100} = \frac{25}{200} = \frac{1}{8} \]
Now, calculate \( \frac{1}{8} \) of Rs. 800:
\[ \frac{1}{8} \times 800 = \frac{800}{8} = 100 \]

### Step 3: Calculate 33.33% of Rs. 300
33.33% can be expressed as a fraction:
\[ 33.33\% = \frac{33.33}{100} = \frac{100}{300} = \frac{1}{3} \]
Now, calculate \( \frac{1}{3} \) of Rs. 300:
\[ \frac{1}{3} \times 300 = 100 \]

### Step 4: Combine the results
Now, we combine the results from the previous steps:
\[ 180 + 100 - 100 \]
Calculating this gives:
\[ 180 + 100 - 100 = 180 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{180} \]

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