Question

by selling 20 pairs of shoes for rs 18000 a shopkeppers loss 20% how many pair of shoes should he sell for rs 16200 so as to have a profit of 20%

Answer 1

Hi ,

Selling price of 20 pair of shoes = Rs 18000

Selling price of 1 pair ( s.p ) = Rs 18000/20

S.p = Rs900

Let the cost price of 1 pair = c.p

c.p = ( s.p × 100 ) / ( 100 - loss % )

= ( 900 × 100 ) / ( 100 - 20 )

= 90000 / 80

= 1125

c.p = Rs 1125

2 ) c.p = Rs 1125

Let the Pairs of of shoes he sold = n

Profit = ( g ) = 20 %

Selling price of n pairs of shoes = s.p = Rs 16200

S.p / n = c.p ( 100 + g ) / 100

16200 / n = 1125 ( 100 + 20 ) / 100

16200 / n = ( 1125 × 120 ) / 100

n = ( 16200 × 100 ) / ( 1125 × 120 )

After cancellation ,

n = 12

Therefore ,,

The shopkeeper sells 12 pairs of shoes for Rs 16200

as to have a profit of 20%......