The marked price of a paino was Rs 15,000. At the time of sale, there weree successive discounts of 20%, 10% and 10% respectively on it. The sale price was?

Answer

To find the sale price of the piano after applying the successive discounts, we can follow these steps:

### Step 1: Calculate the first discount
The marked price (MP) of the piano is Rs 15,000. The first discount is 20%.

- First discount amount = 20% of MP
- First discount amount = (20/100) * 15,000 = Rs 3,000

### Step 2: Calculate the price after the first discount
- Price after first discount = MP - First discount amount
- Price after first discount = 15,000 - 3,000 = Rs 12,000

### Step 3: Calculate the second discount
The second discount is 10% on the new price (Rs 12,000).

- Second discount amount = 10% of Price after first discount
- Second discount amount = (10/100) * 12,000 = Rs 1,200

### Step 4: Calculate the price after the second discount
- Price after second discount = Price after first discount - Second discount amount
- Price after second discount = 12,000 - 1,200 = Rs 10,800

### Step 5: Calculate the third discount
The third discount is also 10% on the new price (Rs 10,800).

- Third discount amount = 10% of Price after second discount
- Third discount amount = (10/100) * 10,800 = Rs 1,080

### Step 6: Calculate the final sale price
- Sale Price (SP) = Price after second discount - Third discount amount
- Sale Price (SP) = 10,800 - 1,080 = Rs 9,720

Thus, the sale price of the piano after applying all the discounts is **Rs 9,720**.

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