Question

15 kg more sugar can be bought as a result of the 20% increase of the price of sugar at Tk. 4500, what is the price of the sugar at present?​

Answer 1

The current price is Tk. 3750

Explanation:

Given:

`\%\ Increase = 20\%`

`New\ Price = Tk.\ 4500`

Required

Determine the current price

Percentage increment is calculated using the following formula:

`\%\ Increase = (New - Old)/(Old)`

In this case, we have:

`\%\ Increase = (New\ Price - Old\ Price)/(Old\ Price)`

Substitute values for % increase and New Price

`20\% = (4500 - Old\ Price)/(Old\ Price)`

Cross Multiply

`20\% *Old\ Price= 4500 - Old\ Price`

Convert percentage to decimal

`0.20*Old\ Price= 4500 - Old\ Price`

Collect Like Terms

`Old\ Price+0.20*Old\ Price= 4500`

Factorize:

`Old\ Price(1+0.20)= 4500`

`Old\ Price(1.20)= 4500`

Solve for Old Price

`Old\ Price= (4500)/(1.20)`

`Old\ Price= 3750`

Hence, the current price is Tk. 3750