Question

13. A dealer has paid 120 for a pair of shoes. He sold
it to a customer at loss of 20%. For how much did
he sell it?​

Answer 1

Answer:-

The dealer had sell it for 96.

Explanation:-

Given:-

• Cost price of shoes (CP) = 120.

• Loss% = 20%.

To Find:-

• The Selling Price of the shoes (SP).

Formulas Used:-

$\\ \pink{ 1. \: \: \boxed{ \orange{ \bf loss \% = \frac{loss}{CP} \times 100 \% }}}$

$\\ \large\pink{ 2. \: \: \boxed{ \orange{ \bf loss = CP - SP .}}}$

So Here,

• Loss% = 20%.

• CP = 120.

• Loss = ??.

• SP = ?? [To Find].

Now,

By Using Formula (1) we get,

$\\ \bf\mapsto loss \% = \frac{loss}{CP} \times 100 \% .$

$\\ \tt\mapsto 20 \% = \frac{loss}{ \cancel{120}} \times \cancel{100}\%.$

$\\ \tt\mapsto20 \% = \dfrac{loss}{6} \times 5 \%.$

$\\ \tt\mapsto20 \% = \frac{5 \: \: loss \%}{6} .$

$\\ \tt\mapsto5 \: loss \% = 20 \%\times 6$

$\\ \tt\mapsto5 \:loss \% = 120 \%$

$\\ \tt\mapsto loss = \cancel\dfrac{120 \%}{5 \%}$

$\\ \large \underline{\bf\mapsto{ \underline{ loss = 24.}}}$

Again,

By Using Formula (2) we get,

$\\ \bf\mapsto loss = CP -SP.$

$\\ \tt\mapsto 24 = 120 - SP.$

$\\ \tt\mapsto24 - 120 = - SP.$

$\\ \tt\mapsto \cancel - \: \: 96 = \cancel - \: \: SP.$

$\\ \tt\mapsto96 = SP.$

$\\ \large{\red{\mapsto \boxed{ \blue{ \bf SP = 96.}}}}$

So We get Selling Price = 96.

$\bf\therefore$ The Dealer Sell The Pair of Shooes for 96.