Can someone please explain the problem and its answer ?
A shop is offering a 30% discount on the price of a certain item. If the shop wants to increase the price back to its original price, the discounted price should be increased by what percent?
Let’s do it!
Let the item’s original price be x.
If the item is being discounted by 30%, we multiply by the difference of 1 and the percentage, so let’s display that here:
• x(1 - 0.30) \rightarrow 0.7x
Ok, so now that we found that the sale price, let’s let that be y.
• 0.7x = y.
The question is asking what number we have to multiply by to get back to the original price, so let’s decipher:
0.7x = y \rightarrow divide both sides by 0.7 \rightarrow x = 1.428y
Since 1 is representative of 100%, the sale price should be increased by (1.428 - 1) = .428 or 42.8%
Hope this helps!