Rajesh buys a table for Rs. 900 and sells. It Rajesh gives two successive discounts of 10% and 20% to the customer. What will be the selling price (in Rs.) of the table ?

Options

A. 568
B. 648
C. 728
D. 668

Answer

To find the selling price of the table after applying two successive discounts of 10% and 20%, we can follow these steps:

### Step 1: Calculate the single equivalent discount
We can use the formula for calculating the single discount from two successive discounts:
\[ \text{Single Discount} = A + B - \left(\frac{A \times B}{100}\right) \]
where \(A\) is the first discount percentage (10%) and \(B\) is the second discount percentage (20%).

### Step 2: Substitute the values into the formula
Substituting \(A = 10\) and \(B = 20\):
\[ \text{Single Discount} = 10 + 20 - \left(\frac{10 \times 20}{100}\right) \]

### Step 3: Simplify the equation
Calculating the product:
\[ \frac{10 \times 20}{100} = \frac{200}{100} = 2 \]
Now substituting back:
\[ \text{Single Discount} = 10 + 20 - 2 = 28\% \]

### Step 4: Calculate the discount amount
Now, we need to find the discount amount on the cost price of the table, which is Rs. 900:
\[ \text{Discount Amount} = \left(\frac{28}{100}\right) \times 900 \]
Calculating this:
\[ \text{Discount Amount} = 0.28 \times 900 = 252 \]

### Step 5: Calculate the selling price
Finally, we can find the selling price by subtracting the discount amount from the cost price:
\[ \text{Selling Price} = \text{Cost Price} - \text{Discount Amount} \]
Substituting the values:
\[ \text{Selling Price} = 900 - 252 = 648 \]

Thus, the selling price of the table is **Rs. 648**.

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