Question

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**.