Discount Calculation:

To determine which discount is greater, we need to calculate the discounted price for each discount and compare them.

Discount 1: 50% + 20%

To calculate the total discount, we need to find the sum of the two individual discounts:

Discount 1 = 50% + 20% = 70%

Discount 2: 70%

Comparing the Discounts:

Now, we need to compare the two discounts to determine which one is greater.

Discount 1 (70%) vs Discount 2 (70%)

Since both discounts are 70%, they are equal. Therefore, the correct answer is option 'C' - 70%.

Explanation:

Discount 1 (50% + 20%) is the same as Discount 2 (70%) because when we add 50% and 20%, we get the same value as 70%. In this case, both discounts provide the same amount of savings.

To understand this concept further, let's consider an example:

Let's say we have an item with an original price of $100.

Discount 1 (50% + 20%):

First, we apply a 50% discount:

Discounted price = $100 - ($100 * 50%) = $100 - $50 = $50

Then, we apply a 20% discount on the discounted price:

Discounted price = $50 - ($50 * 20%) = $50 - $10 = $40

Discount 2 (70%):

We directly apply a 70% discount on the original price:

Discounted price = $100 - ($100 * 70%) = $100 - $70 = $30

As we can see, the discount of 70% provides a lower price ($30) compared to the discount of 50% + 20% ($40).

In conclusion, the discount of 70% is greater than the discount of 50% + 20%.