To solve this problem, we need to understand that successive discounts are not additive, but multiplicative. Here's how to calculate it:

1. Start with the original price as 100%.

2. The first discount is 10%, so the price becomes 90% of the original (100% - 10% = 90%).

3. The second discount is 20% of the new price. To find this, multiply 90% by 80% (because 100% - 20% = 80%). This gives 72% of the original price.

4. The third discount is 10% of the new price. To find this, multiply 72% by 90% (because 100% - 10% = 90%). This gives 64.8% of the original price.

So, the trader will recover 64.8% of the original cost price after giving the successive discounts.

Question

To solve this problem, we need to understand that successive discounts are not additive, but multiplicative. Here's how to calculate it:

1. Start with the original price as 100%.

2. The first discount is 10%, so the price becomes 90% of the original (100% - 10% = 90%).

3. The second discount is 20% of the new price. To find this, multiply 90% by 80% (because 100% - 20% = 80%). This gives 72% of the original price.

4. The third discount is 10% of the new price. To find this, multiply 72% by 90% (because 100% - 10% = 90%). This gives 64.8% of the original price.

So, the trader will recover 64.8% of the original cost price after giving the successive discounts.

Knowee AI · Accepted Answer

To solve this problem, we need to understand that successive discounts are not additive, but multiplicative. Here's how to calculate it:

1. Start with the original price as 100%.

2. The first discount is 10%, so the price becomes 90% of the original (100% - 10% = 90%).

3. The second discount is 20% of the new price. To find this, multiply 90% by 80% (because 100% - 20% = 80%). This gives 72% of the original price.

4. The third discount is 10% of the new price. To find this, multiply 72% by 90% (because 100% - 10% = 90%). This gives 64.8% of the original price.

So, the trader will recover 64.8% of the original cost price after giving the successive discounts.

A trader gives successive discounts of 10%, 20% and 10% respectively. The percentage of the original cost price he will recover is: