The successive discounts of $10\%$ and $20\%$ are given on the purchase of a guitar. If the marked price on the guitar is ₹ 2000, find the selling price.

Answer 1

To find the selling price of the guitar after successive discounts of \(10%\) and \(20%\), we'll follow these steps:

1. Calculate the first discount:

   • The marked price of the guitar is ₹ 2000.
   • The first discount is \(10%\) of ₹ 2000. \[ \text{First Discount} = 10% \times 2000 = \frac{10}{100} \times 2000 = 200 \]
   • Subtract the first discount from the marked price: \[ \text{Price after first discount} = 2000 - 200 = 1800 \]

2. Calculate the second discount:

   • The second discount is \(20%\) of the price after the first discount (which is ₹ 1800). \[ \text{Second Discount} = 20% \times 1800 = \frac{20}{100} \times 1800 = 360 \]
   • Subtract the second discount from the price after the first discount: \[ \text{Selling Price} = 1800 - 360 = 1440 \]

Thus, the selling price of the guitar after successive discounts is ₹ 1440.