The number that is to be added to `10%` of 320 to have the sum as `30%` of 230 is

Options

A. a) `37`
B. b) `32`
C. c) `23`
D. d) `73`

Answer

To solve the problem step by step, we need to find the number that should be added to `10%` of `320` so that the result equals `30%` of `230`. Let's denote the unknown number as `X`.

### Step 1: Calculate `10%` of `320`
To find `10%` of `320`, we can use the formula:
\[ 10\% \text{ of } 320 = \frac{10}{100} \times 320 = \frac{3200}{100} = 32 \]

### Step 2: Calculate `30%` of `230`
Next, we calculate `30%` of `230`:
\[ 30\% \text{ of } 230 = \frac{30}{100} \times 230 = \frac{6900}{100} = 69 \]

### Step 3: Set up the equation
According to the problem, we need to add `X` to `10%` of `320` to get `30%` of `230`. This gives us the equation:
\[ 32 + X = 69 \]

### Step 4: Solve for `X`
To find `X`, we can rearrange the equation:
\[ X = 69 - 32 \]
Calculating this gives:
\[ X = 37 \]

### Conclusion
The number that needs to be added is `37`.

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