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A scooter is sold at three successive di...

A scooter is sold at three successive discounts of 10%, 5% and 2%. If the marked price of the scooter is Rs. 18,000, find its net selling price.

A

Rs. 15028.20

B

`Rs. 15082.00`

C

Rs. 15082.20

D

`Rs. 15080.00`

Text Solution

AI Generated Solution

The correct Answer is:
To find the net selling price of the scooter after applying three successive discounts of 10%, 5%, and 2% on the marked price of Rs. 18,000, we can follow these steps: ### Step 1: Calculate the first discount The first discount is 10% of the marked price. \[ \text{First Discount} = 10\% \text{ of } 18,000 = \frac{10}{100} \times 18,000 = 1,800 \] ### Step 2: Calculate the price after the first discount Subtract the first discount from the marked price. \[ \text{Price after first discount} = 18,000 - 1,800 = 16,200 \] ### Step 3: Calculate the second discount The second discount is 5% of the new price (after the first discount). \[ \text{Second Discount} = 5\% \text{ of } 16,200 = \frac{5}{100} \times 16,200 = 810 \] ### Step 4: Calculate the price after the second discount Subtract the second discount from the price after the first discount. \[ \text{Price after second discount} = 16,200 - 810 = 15,390 \] ### Step 5: Calculate the third discount The third discount is 2% of the new price (after the second discount). \[ \text{Third Discount} = 2\% \text{ of } 15,390 = \frac{2}{100} \times 15,390 = 307.80 \] ### Step 6: Calculate the net selling price Subtract the third discount from the price after the second discount. \[ \text{Net Selling Price} = 15,390 - 307.80 = 15,082.20 \] ### Final Answer The net selling price of the scooter is Rs. 15,082.20. ---
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