The price of the goods was first reduced by 20%, then by 15%, and for the third time – by another 10%.
The price of the goods was first reduced by 20%, then by 15%, and for the third time – by another 10%. By what percentage have the original price of the product been reduced if the new price is 454 tenge?
Let’s calculate a 10% discount:
X – 10%.
454 – 100%.
X = 454 * 10% / 100% = 45.40 tenge.
Let’s add a discount to the new price:
45.40 + 454 = 499.40 tenge.
In the same way, we will calculate the second discount, calculating the price from the first discount.
X – 15%.
499.40 – 100%.
X = 499.40 * 15% / 100% = 74.91 tenge.
Let’s calculate the price:
499.40 + 74.91 = 574.31 tenge.
And we also calculate the third discount, taking into account the price of the second discount:
X – 20%.
574.31 – 100%.
X = 574.31 * 20% / 100% = 114.86 tenge.
Therefore, the original price was:
114.84 + 574.31 = 689.17 tenge.
Let’s calculate by what percentage the original price of the product has been reduced:
(689.17 – 454) / 689.17 * 100 = 34.12%
Answer: 34.12%