Question

by selling a flower pot for rs 528, a women gain 20 % at what price should she sell it to gain 25% ?​

Answer 1

Case :- 1

Given that

• Selling Price of flower pot = Rs 528

• Gain % = 20 %

Let's find the Cost Price of flower pot.

We know,

$\rm :\longmapsto\:Cost \: Price = \dfrac{100 \times Selling \: Price}{100 + Gain\%}$

On Substituting the values of Selling Price and Gain %,

$\rm :\longmapsto\:Cost \: Price = \dfrac{100 \times 528}{100 + 20}$

$\rm :\longmapsto\:Cost \: Price = \dfrac{52800}{120}$

$\bf\implies \:Cost \: Price \: = \: Rs \: 440$

Case :- 2

Given that,

• Cost Price of flower pot = Rs 440

• Gain % = 25 %

Now,

We know,

$\rm :\longmapsto\:Selling \: Price = \dfrac{(100 + Gain\%) \times Cost \: Price}{100}$

$\rm :\longmapsto\:Selling \: Price = \dfrac{(100 + 25) \times 440}{100}$

$\rm :\longmapsto\:Selling \: Price = \dfrac{125 \times 440}{100}$

$\bf :\longmapsto\:Selling \: Price = Rs \: 550$

Additional Information :-

$\red{ \boxed{ \sf \: Loss = Cost \: Price - Selling \: Price}}$

$\red{ \boxed{ \sf \: Gain \: = \: Selling \: Price - Cost \: Price}}$

$\red{ \boxed{ \sf \: Gain\% \: = \: \dfrac{Gain}{Cost \: Price} \times 100\%}}$

$\red{ \boxed{ \sf \: Loss\% \: = \: \dfrac{Loss}{Cost \: Price} \times 100\%}}$

$\red{ \boxed{ \sf \: Cost \: Price = \dfrac{100 \times Selling \: Price}{100 - Loss\%}}}$

$\red{ \boxed{ \sf \: Selling \: Price = \dfrac{(100 - Loss\%) \times Cost \: Price}{100}}}$