Find the single discount (as percent) equivalent to successive discounts of:
`60% and 60%`

Answer

To find the single discount equivalent to successive discounts of 60% and 60%, we can use the following formula:

**Step 1: Identify the discounts**
Let D1 = 60% and D2 = 60%.

**Step 2: Use the formula for successive discounts**
The formula to calculate the equivalent single discount (D) is:
\[ D = D1 + D2 - \left(\frac{D1 \times D2}{100}\right) \]

**Step 3: Substitute the values into the formula**
Substituting D1 and D2 into the formula:
\[ D = 60 + 60 - \left(\frac{60 \times 60}{100}\right) \]

**Step 4: Calculate the product of D1 and D2**
Calculate \( 60 \times 60 = 3600 \).

**Step 5: Divide by 100**
Now, divide 3600 by 100:
\[ \frac{3600}{100} = 36 \]

**Step 6: Substitute back into the equation**
Now substitute this value back into the equation:
\[ D = 60 + 60 - 36 \]

**Step 7: Perform the addition and subtraction**
Calculate:
\[ D = 120 - 36 = 84 \]

**Step 8: Conclusion**
Thus, the single discount equivalent to successive discounts of 60% and 60% is:
\[ \text{Equivalent Discount} = 84\% \]