Question

Rohit marks his goods 40% above the cp but allows a discount of 5% for cash payment to his customers.what actual profit does he make,if he receives rs-1064 after allowing the discount.

Answer 1

let the cost price be 'x'
according to question ,

market price =x + 40% of x

x + 40% of x - 5% of x = 1064

x + 0.4x - 0.05x = 1064

x( 1 + 0.4 - 0.05 ) =1064

x( 1.4 - 0.05 ) = 1064

1.35x = 1064 =>x = 1064/1.35

x = Rs 788.14 = cost price

market price= 788.14 + 40% of 788.14

= 788.14 + 0.4 × 788.14

= 788.14 + 315.25
= Rs. 1103.39

selling price = 1103.39 - 5 % of 1103.29
= 1103.39 - 0.05 × 1103.29

= 1103.39 - 55.16

= Rs 1048.22

profile earned = Selling price - cost price
= 1048.22 - 788.14
= Rs 300.08

profit % = profit/cost price × 100

=300.08/788.14 × 100

= 38.07 %

therefore, the actual profit he make
= 38.07 %