Question

a shoe trader allows 10% discount on the market price of shoes and still make a profit of 4% if he gains Rs 144 on the sale of one pair of shoes find the market price of the shoes​

Answer 1

Dear Student,

◆ Answer

Market price = Rs 4160

● Explanation -

Given that 4 % profit is Rs 144.

144 = CP × 4/100

CP = 14400/4

CP = Rs 3600

So selling price is given by -

SP = CP × (100+4)/100

SP = 3600 × 104/100

SP = Rs 3744

Let MP be the market price of shoes. After 10% discount, selling price is -

SP = MP × (100-10)/100

SP = MP × 90/100

MP = SP × 100/90

MP = 3744 × 100/90

MP = Rs 4160

Hence, the market price of the shoes is Rs 4160.

Thanks dear. Hope this helps you...

Answer 2

Therefore the market price of the shoe is Rs. 4160.

Step-by-step explanation:

Given , a shoe trader allows 10% discount on the market price of shoes and still make a profit of 4% . He gain Rs.144 on the sale of one pair of shoe .

Let the cost price of the shoe for the shoe trader be x.

According to the problem,

$x \times \frac{4}{100} = 144$

$\Leftrightarrow 4x = 14400$

$\Leftrightarrow x =\frac{ 14400}{4}$

$\Leftrightarrow x = 3600$

Therefore the selling price of the shoe is= Rs.(3600+144)

                                                                   =Rs. 3744

Let the market price of the shoe be y

According to the problem,

$y \times \frac{100-10}{100} = 3744$

⇔$y \times \frac{90}{100} = 3744$

$\Leftrightarrow 9y = 37440$

$\Leftrightarrow y =4160$

Therefore the market price of the shoe is Rs. 4160.