Question

Given a series discount of 70/10/20 what is the single discount equivalent?

Answer 1

Step 1. As a reference to solve this problem, we will call the original quantity ''x''

`x\longrightarrow\text{original quantity}`

Step 2. The first discount applied is 70% --> to calculate this discount we multiply our original quantity by 0.7:

`70\text{ percent discount }\longrightarrow0.7x`

Step 3. Now we apply the second discount in the series of discounts which is a 10% discount. We need to multiply the previous result by 0.1:

`10\text{ percent discount}\longrightarrow0.1*0.7x\longrightarrow0.07x`

Step 4. The last of the discounts is a 20% discount over the already discounted amount, so again we multiply the previous result but this time for 0.2 to find the 20% discount:

`20\text{percent discount}\longrightarrow0.2*0.07x\longrightarrow0.014x`

Step 5. Add all of the discounts:

`0.7x+0.07x+0.014x`

The result is:

`0.784x`

The equivalent discount is 0.784 of the original amount ''x''.

We can multiply this decimal number by 100 to find the equivalent percent discount:

`0.784*100=78.4`

The equivalent discount is 78.4%

Answer: 78.4%