A machine is marked at ₹ 7.500. The shopkeeper allows successive discounts of 8%,5% and 2% on it. The net selling price is

Options

A. ₹ 6,400.30
B. ₹ 6,423.90
C. ₹ 6.427.50
D. ₹6,415.40

Answer

To find the net selling price of a machine marked at ₹7,500 after successive discounts of 8%, 5%, and 2%, we can follow these steps:

### Step 1: Calculate the first discount
The first discount is 8% of ₹7,500.

\[ \text{First Discount} = \frac{8}{100} \times 7500 = 600 \]

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

\[ \text{Price after 1st Discount} = 7500 - 600 = 6900 \]

### Step 3: Calculate the second discount
The second discount is 5% of ₹6,900.

\[ \text{Second Discount} = \frac{5}{100} \times 6900 = 345 \]

### Step 4: Calculate the price after the second discount
Subtract the second discount from the price after the first discount.

\[ \text{Price after 2nd Discount} = 6900 - 345 = 6555 \]

### Step 5: Calculate the third discount
The third discount is 2% of ₹6,555.

\[ \text{Third Discount} = \frac{2}{100} \times 6555 = 131.10 \]

### Step 6: Calculate the final selling price
Subtract the third discount from the price after the second discount.

\[ \text{Final Selling Price} = 6555 - 131.10 = 6423.90 \]

Thus, the net selling price of the machine after the successive discounts is ₹6,423.90.