Question

What price should a tradesman mark on an article which costs him rs 300 to gain 20% after allowing 4% discount?

Answer 1

Given :

cost price = Rs 300

gain = 20%

selling price = CP + Profit %

= 300 + 300x20%

= 300 + 60

= 360

selling price = 360

Given :

Discount = 4%

let MP = x

Discount = 4% on MP = 4x/100

SP = MP - Discount

360 = x - 4x/100

360 = 100x - 4x / 100

360 = 96x/100

96x = 36000

x = 36000/96

x = 375

Marked price = Rs 375

$\bold{Marked \: price \: = \: Rs \: 375}$

Answer 2

Cost Price = Rs 300

Find the price including profit:

20% profit = 0.2 x Rs 300 = Rs 60

Price with profit = 300 + 60 = Rs 360

Find the price before discount:

Discount = 4%

Price before discount = 100 - 4 = 96%

96% = 360

1% = 360 ÷ 96 = 3.75

100%  = 43.75 x 100 ≈ Rs 375

Answer: The article should be marked at Rs 375