Question

The price of pulses has increased by 40%. By whatprice should the increased price of the pulses shouldbe reduced so that the price of the pulses remainsunaltered?

Answer 1

The increased price must be decreased by 28.57%

`28.57\text{ \%}`

Step-by-step explanation:

Given that the price of pulses has increased by 40%.

Let x reprsent the initial price.

and f the increased price;

`\begin{gathered} f=x+40\text{\% of x} \\ f=x+0.4x \\ f=1.4x \end{gathered}`

To bring the price back to x we want to calculate the percentage decrease;

`\begin{gathered} P=(f-x)/(f)*100\text{ \%} \\ P=(1.4x-x)/(1.4x)*100\text{ \%} \\ P=(0.4x)/(1.4x)*100\text{ \%} \\ P=28.57\text{ \%} \end{gathered}`

Therefore, the increased price must be decreased by 28.57%

`28.57\text{ \%}`