During the sale, the price of the same product was reduced first by 15%, and then by another 20%.

During the sale, the price of the same product was reduced first by 15%, and then by another 20%. How much was the original price reduced by what percentage?

1. Let’s denote the original price of the product by the letter A, this is 100%. If it was reduced by 15%, then it will become equal in percentage terms:

100 – 15 = 85%.

2. Let us decide by proportion what the price will be equal to in value terms:

100% – A;

85% – H.

Where from:

X = A x 85/100;

X = 0.85 x A.

3. If the price of the goods decreases by 20%, then it will be equal in percentage terms:

100 – 20 = 80%.

4. Now the 100% price of the commodity is already 0.85 x A. Let us find by the proportion what it will be equal to after a 20% decrease:

100% – 0.85 x A;

80% – W.

Where from:

Y = (0.85 x A x 80) / 100;

Y = 0.68 x A.

5. Next, we find how much the price of the goods has decreased in value terms:

A – 0.68 x A = 0.34 x A.

6. Let’s calculate by what percentage the original price was reduced:

A – 100%;

0.34 x A – Z.

Where from:

Z = (0.34 x A x 100) / A;

Z = 34%.

Answer: The original price has been reduced by 34 percent.