Find the selling price of an ar ticle if a shopkeeper allows two successive discounts of 5% each on the marked price of 80.

Options

A. 70.2
B. 70.1
C. 72
D. 72.2

Answer

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

### Step 1: Calculate the first discount
The marked price (MP) is Rs. 80. The first discount (D1) is 5% of the marked price.

\[ D1 = \frac{5}{100} \times 80 = \frac{400}{100} = 4 \]

### Step 2: Calculate the price after the first discount
Now, subtract the first discount from the marked price to find the new price (P1).

\[ P1 = MP - D1 = 80 - 4 = 76 \]

### Step 3: Calculate the second discount
Now, apply the second discount (D2) of 5% on the new price (P1), which is Rs. 76.

\[ D2 = \frac{5}{100} \times 76 = \frac{380}{100} = 3.8 \]

### Step 4: Calculate the final selling price
Finally, subtract the second discount from the price after the first discount to find the selling price (SP).

\[ SP = P1 - D2 = 76 - 3.8 = 72.2 \]

Thus, the selling price of the article is **Rs. 72.2**.

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