Question

vishal wants to earn 20% profit on selling a mobile phone at 30% discount. Find required percentage increase in the marked price.​

Answer 1

Answer:

Percentage increase in the marked price = 71.42 %

Step-by-step explanation:

Let, Cost Price ( CP ) = Rs x

∴ Selling Price ( SP ) =  x + 20 % of x

                                 =  $x +\frac{20}{100}x$

                                 = Rs $\frac{6x}{5}$

Now,

Discount percentage to be given = 30%

∴ SP = MP - 30 % of MP

⇒ $\frac{6x}{5}$ = 0.7 MP

⇒ MP = $\frac{6x}{5*0.7}$

∴ MP = $\frac{6x}{3.5}$

Increased Price = MP - CP

                          = $\frac{6x}{3.5}-x$

                          = $\frac{2.5x}{3.5}$

Now,

Percentage Increased = $\frac{Increased Price}{CP}*100$

                                      = $\frac{\frac{2.5x}{3.5} }{x} *100$

                                      = $\frac{2.5x}{3.5x}*100$

                                      = $\frac{2.5}{3.5}*100$

                                     = 71.42 %

Therefore,

Percentage increase in the marked price = 71.42 %