Question

If the price of a shirt decreased from Rs. 80 to Rs. 60, find the percentage decrease.

Answer 1

Hint: To find the percentage decrease of price from Rs. 80 to Rs. 60, we will find the difference in the price of the shirt by subtracting the decreased price of the shirt from the original price. We will get the difference as Rs.20. Now, let us find the percentage of decrease in price using the formula Percentage of decrease in price $=\dfrac{\text{Difference in price}}{\text{Original price}}\times 100\%$ . On substituting the values in the formula, the required answer can be computed.

Complete step by step answer:
We have to find the percentage decrease of price from Rs. 80 to Rs. 60.
We have,
Original price of the shirt $=\text{Rs}.80$
Decreased price of the shirt $=\text{Rs}\text{.60}$
Let us find the difference in the price of the shirt. This is done by subtracting the decreased price of the shirt from the original price. This is shown below.
Difference in the price = Original price of shirt-Decreased price of the shirt
Let us now substitute the values. We will get
Difference $=80-60$
On subtraction, we will get
Difference $=\text{Rs}.20$
Now, let us find the percentage of decrease in price. We can do this by dividing the difference of the price by the original price and multiplying the result with 100. This is shown below.
Percentage of decrease in price $=\dfrac{\text{Difference in price}}{\text{Original price}}\times 100\%$
Now, let us substitute the values. We will get
Percentage of decrease in price $=\dfrac{\text{20}}{\text{80}}\times 100\%$
Let us cancel the zeroes from the numerator and denominator. We will get
Percentage of decrease in price $=\dfrac{\text{2}}{\text{8}}\times 100\%$
Now, we can cancel the common factors from numerator and denominator. This results in
Percentage of decrease in price $=\dfrac{1}{\text{4}}\times 100\%$
Now, let us again simplify this by cancelling the common factors from numerator and denominator. We will get
Percentage of decrease in price $=\dfrac{50}{2}\%$
Again we can simplify this by cancelling the common factors from numerator and denominator.
Percentage of decrease in price $=25\%$

Hence, the percentage decrease of price from Rs. 80 to Rs. 60 is 25%.

Note: You must write the units at the end of each computation. You may make mistakes when computing the percentage decrease by performing $\dfrac{\text{Decreased price}}{\text{Original price}}\times 100\%$ . Also, do not forget to multiply $\dfrac{\text{Difference in price}}{\text{Original price}}$ with 100.