Question

The price of shirts has decreased from Rs 1500 to Rs 1000 in a sale. Find the percentage decrease in the price.

Answer 1

Hint: We have given the price of the shirt before sale as Rs 1500 and price of the shirt in a sale as Rs 1000 and we are asked to find the percentage decrease in the price of the shirt. First of all find the decrease in the price of the shirt which is equal to subtraction of price of the shirt in sale from the price of the shirt before sale. After getting the result of subtraction divide this result of difference by the original price of the shirt and then multiply by 100 to get the percentage decrease in price of the shirt.

Complete step-by-step answer:
The original price of the shirt or the price of the shirt before sale is equal to Rs 1500.
In the sale, the price of the shirt got reduced to Rs 1000.
And we are asked to find the percentage decrease in the price of the shirt.
Let us find the decrement in the price of the shirt first which is calculated by subtracting the decreased price from the original price.
$\begin{align}
  & 1500-1000 \\
 & \text{Rs}.500 \\
\end{align}$
From the above, we got the decrease in the price as Rs. 500.
Now, we are going to divide this decrement by the original price (i.e. Rs 1500) we get,
$\dfrac{500}{1500}$
Two zeros will be cancelled out from the numerator and the denominator and we are left with:
$\dfrac{5}{15}$
Now, numerator is cancelled by 5 as 1 times and denominator is cancelled by 5 times as 3 times and we get,
$\dfrac{1}{3}$
Now, multiplying the above result by 100 we get,
$\begin{align}
  & \dfrac{1}{3}\times 100 \\
 & 33.33\% \\
\end{align}$
Hence, we got the percentage decrease in the price of the shirt as $33.33%$.

Note: We can cross check the above answer by firstly dividing the above percentage by 100 then multiply with the original price of the shirt.
$\begin{align}
  & \dfrac{33.33}{100}\times 1500 \\
 & =499.95 \\
\end{align}$
Rounding off the above value we get 500.
Now, we got the difference between the original price and the reduced price as Rs. 500. And so if we subtract 500 from Rs 1500 we get Rs 1000 which is given in the above problem.
Hence, the answer we are getting above is correct.