A shopkeeper marks the price of an article at Rs. 80. What will be the selling price, if he allows two successive discounts of 5% each ?

Options

A. Rs. 72.2
B. Rs. 72
C. Rs. 85
D. Rs. 7.2

Answer

To find the selling price of an article after two successive discounts of 5% each on a marked price of Rs. 80, we can follow these steps:

### Step 1: Calculate the first discount
The first discount is 5% of the marked price (Rs. 80).

\[ \text{First Discount} = \frac{5}{100} \times 80 = 4 \]

### Step 2: Calculate the price after the first discount
Subtract the first discount from the marked price to find the new price.

\[ \text{Price after first discount} = 80 - 4 = 76 \]

### Step 3: Calculate the second discount
Now, we apply the second discount of 5% on the new price (Rs. 76).

\[ \text{Second Discount} = \frac{5}{100} \times 76 = 3.8 \]

### Step 4: Calculate the selling price after the second discount
Subtract the second discount from the price after the first discount to find the final selling price.

\[ \text{Selling Price} = 76 - 3.8 = 72.2 \]

Thus, the selling price of the article after allowing two successive discounts of 5% each is **Rs. 72.2**.

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