Successive discount of 10% and 30% are equivalent to a single discount of :

To find the equivalent single discount for successive discounts of 10% and 30%, follow these steps:

1. Let's assume the original price of an item is $100.

2. The first discount of 10% on $100 would reduce the price to$90. (Because 10% of $100 is$10, and $100 -$10 = $90)

3. The second discount of 30% would be applied to the reduced price of $90. 30$90 is $27. (Because 30/100 * 90 =$27)

4. So, the price after the second discount would be $63. (Because$90 - $27 =$63)

5. Now, to find the equivalent single discount, we calculate the total reduction from the original price. The original price was $100 and the final price is$63. So, the reduction is $37. (Because$100 - $63 =$37)

6. To express this reduction as a percentage of the original price, we divide the reduction by the original price and multiply by 100. So, the equivalent single discount is 37%. (Because 37/100 * 100 = 37%)

So, successive discounts of 10% and 30% are equivalent to a single discount of 37%.