Question

The cost of a flower case is Rs. 160, if the shopkeeper sells it at a a loss of 20% then find its selling price.​

Answer 1

Given :

1. The cost of a flower case is ₹160
2. Shopkeeper sells it at a loss of 20%

To Find :

Selling price of flower case

Solution :

Cost price, C.P = ₹160

Selling price , S.P = ?

According to the question:

Shopkeeper sell at a loss of 20%

Thus , Loss percentage=20%

we know that ;

$\bf{Loss\:Percentage=\dfrac{Loss}{C.P}\times100\%}$

$\sf\implies\:20=\dfrac{Loss}{160}\times100$

$\sf\implies\:Loss=\dfrac{20\times160}{100}$

$\sf\implies\:Loss=2\times16$

$\sf\implies\:Loss=32$

Loss = CP - SP

32 =160 - SP

SP = ₹ 128

Therefore, Selling price of Flower case is ₹128

Answer 2

We have given that The cost of a flower case is Rs. 160 and the shopkeeper sells it at a loss of 20 %.

We know that, we have been given only Loss % which is 20 %, and so, Firstly Let's find the Loss %.

Formula to find Loss Percentage,

${\boxed{\bullet\:{Loss\:Percent\:=\:{\dfrac{Loss}{Cost\:Price}}\:\times\:100}}}$

Substituting values in Formula, we get,

$\sf\implies{Loss\:Percent\:=\:{\dfrac{Loss}{Cost\:Price}}\:\times\:100}$

$\sf\implies{20\:=\:{\dfrac{Loss}{160}}\:\times\:100}$

$\sf\implies{Loss\:=\:{\dfrac{20\:\times\:160}{100}}}$

$\sf\implies{Loss\:=\:{\dfrac{3200}{100}}}$

$\sf\implies{Loss\:=\:{\cancel{{\dfrac{3200}{100}}}}}$

$\sf\implies{Loss\:=\:32}$

As we found the Loss amount, let's find the selling price by using Loss Formula and substituting value.

Formula to find Loss,

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

Substituting value in Formula, we get,

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

$\sf\implies{32\:=\:160\:-\:Selling\:Price}$

$\sf\implies{Selling\:Price\:=\:160\:-32}$

$\sf\implies{Selling\:Price\:=\:128}$

Hence, The selling price of the flower case is ₹128.