maverack048
Answered

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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?​

Sagot :

MrRoyal

Answer:

The current price is Tk. 3750

Step-by-step explanation:

Given:

[tex]\%\ Increase = 20\%[/tex]

[tex]New\ Price = Tk.\ 4500[/tex]

Required

Determine the current price

Percentage increment is calculated using the following formula:

[tex]\%\ Increase = \frac{New - Old}{Old}[/tex]

In this case, we have:

[tex]\%\ Increase = \frac{New\ Price - Old\ Price}{Old\ Price}[/tex]

Substitute values for % increase and New Price

[tex]20\% = \frac{4500 - Old\ Price}{Old\ Price}[/tex]

Cross Multiply

[tex]20\% *Old\ Price= 4500 - Old\ Price[/tex]

Convert percentage to decimal

[tex]0.20*Old\ Price= 4500 - Old\ Price[/tex]

Collect Like Terms

[tex]Old\ Price+0.20*Old\ Price= 4500[/tex]

Factorize:

[tex]Old\ Price(1+0.20)= 4500[/tex]

[tex]Old\ Price(1.20)= 4500[/tex]

Solve for Old Price

[tex]Old\ Price= \frac{4500}{1.20}[/tex]

[tex]Old\ Price= 3750[/tex]

Hence, the current price is Tk. 3750

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