Two successive discounts of 20% and 20% are equivalent to a single discount of

Options

A. 0.42
B. 0.4
C. 0.36
D. 0.34

Answer

To find the equivalent single discount for two successive discounts of 20%, we can follow these steps:

### Step 1: Understand the Discounts
When we apply a discount, we reduce the price of the item. A 20% discount means we pay 80% of the original price.

### Step 2: Let the Original Price be 100
For simplicity, let's assume the original price (CP) of the item is 100.

### Step 3: Apply the First Discount
The first discount is 20%.
- Amount after the first discount = Original Price - First Discount
- First Discount = 20% of 100 = 20
- Price after the first discount = 100 - 20 = 80

### Step 4: Apply the Second Discount
Now, we apply the second discount of 20% on the new price (80).
- Second Discount = 20% of 80 = 16
- Price after the second discount = 80 - 16 = 64

### Step 5: Calculate the Total Discount
Now, we find out how much total discount has been given from the original price.
- Total Discount = Original Price - Final Price
- Total Discount = 100 - 64 = 36

### Step 6: Calculate the Equivalent Single Discount Percentage
To find the equivalent single discount percentage:
- Equivalent Single Discount = (Total Discount / Original Price) * 100
- Equivalent Single Discount = (36 / 100) * 100 = 36%

### Conclusion
The two successive discounts of 20% and 20% are equivalent to a single discount of 36%.

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