A table with marked price Rs 1200 was sold to a customer for Rs 1100. Find the rate of discount allowed on the table.
अंकित मूल्य Rs 1200 वाली एक मेज एक ग्राहक को Rs 1100 में बेची गई। मेज पर दी गई छूट की दर ज्ञात करें।

Options

A. `9(1)/(3)%`
B. 0.1
C. 0.09
D. `8(1)/(3)%`

Explanation

To find the rate of discount allowed on the table, we can follow these steps:

### Step 1: Identify the Marked Price (MP) and Selling Price (SP)
- Marked Price (MP) = Rs 1200
- Selling Price (SP) = Rs 1100

### Step 2: Calculate the Discount Amount
The discount amount can be calculated using the formula:
\[ \text{Discount} = \text{MP} - \text{SP} \]

Substituting the values:
\[ \text{Discount} = 1200 - 1100 = 100 \text{ Rs} \]

### Step 3: Calculate the Rate of Discount
The rate of discount is calculated using the formula:
\[ \text{Rate of Discount} = \left( \frac{\text{Discount}}{\text{MP}} \right) \times 100 \]

Substituting the values:
\[ \text{Rate of Discount} = \left( \frac{100}{1200} \right) \times 100 \]

### Step 4: Simplify the Calculation
Now, simplify the calculation:
\[ \text{Rate of Discount} = \left( \frac{100}{1200} \right) \times 100 = \frac{10000}{1200} \]

### Step 5: Calculate the Final Rate of Discount
Now, divide 10000 by 1200:
\[ \text{Rate of Discount} = 8.33\% \]

### Final Answer
The rate of discount allowed on the table is **8.33%**.

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