Question

a trader marks up an article by x% and gives y/2% discount and gets y% profit. another trader marks up an article by y% and gives discount of x/2% and gets x/4% loss. if i mark up an article by 2x% which i bought for ₹500 and give discount of y% on article what would be profit in ₹ ?

Answer 1

Answer:

the profit on the article will be Rs 250

Step-by-step explanation:

Case I

Let the cost price of the article be Z, So

Z[ 1 + x/100] [ 1 - y/200]  - Z = yZ/100

=> [ 1 + x/100] [ 1 - y/200]  - 1  = y/100

=> [ 1 + x/100] [ 1 - y/200]    = 1 +  y/100................eq1

Case II

Z - Z[ 1 + y/100] [ 1 - x/200] = xZ/400

=> [ 1 + y/100] [ 1 - x/200] = 1 - x/400.....................eq2

Solving both the equation we get,

x = 100

y = 50

For the article bought at Rs 500, marked up by 2x% and discounted by y%

Marked price = 500 + 200x500/100 = 1500

Discount given = y % = 50% = 50 x 1500/100 = 750

Hence selling price = 1500 - 750 = 750

So profit = 750 - 500 = 250

Hence the profit will be Rs 250