Question

Find Cost price when : Selling price is 6077.5 and profit 6¼​

Answer 1

Answer:

Cost price 5, 720. Simple formula.

Step-by-step explanation:

Cost price = CP

Selling price = SP = 6,077.50

Profit = pr = + 6 ¹/₄ % = 6.25%

We know the famous usual formula :

  SP = CP * (1 + pr/100 )

 6,077.50 = CP * 1.0625

 CP = 5, 720.

Answer 2

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

Given ,

Selling price (Sp) = 6077.5

Profit (Pr) = 6¼ % = 6.25 %

Let ,

Cost price = Cp

We know that ,

$\large \fbox{ \fbox{ \sf \: Sp = Cp(1 + \frac{Pr}{100} ) }}$

$\to \sf 6077.5 = Cp \times (1 + \frac{6.25}{100} ) \\ \\\to \sf 6077.5 = Cp \times 1.0625 \\ \\\to \sf Cp = \frac{6077.5}{1.0625} \\ \\\to \sf Cp = 5720 \: \: ruppes$

Hence , the required value of cost price is 5720 ruppes