The price of the product was increased by 30% and then reduced by 40%.

The price of the product was increased by 30% and then reduced by 40%. how much has the original price of the product changed?

Let’s denote by x the initial price of the product.

After the price of the goods was increased by 30%, the new price of the goods was:

x + (30/100) * x = x + (3/10) * x = x + 0.3 * x = 1.3x.

After the received product price was reduced by 40%, the final product price was:

1.3x – (40/100) * 1.3x = 1.3x – (4/10) * 1.3x = 1.3x – 0.4 * 1.3x = 1.3x – 0.52x = 0.78x.

Let’s find by what percentage the original price of the product has decreased:

100 * (x – 0.78x) / x = 100 * 0.22x / x = 100 * 0.22 = 22%.

Answer: The original price of the product has decreased by 22%.