Question

a trader marks his goods 40 ℅ above the cost price. he sells them at a discount of 25%. what is his loss or gain percentage.

Answer 1

Solutions :-


Let the cost price of goods be Rs 100

We have,
Marked price = 40% above the cost price
= 40% of 100 + 100
= 40 + 100 = Rs 140
Discount = 25%


Find the Selling price of goods :-

S.P = M.P - discount% of M.P
= Rs 140 - 25% of 140
= Rs 140 - 35
= Rs 115


Selling price > Cost price


Gain = S.P - C.P
= Rs (115 - 100)
= Rs 15

Gain % = (profit × 100)/C.P %
= (15 × 100)/100 %
= 15%


Answer : Gain Percent = 15%

Answer 2

Solutions :-


Given :

Marked price = 40% above the cost price
Discount = 25%

Let the cost price be x

Marked price = 40% of x + x
= 0.4x + x = 1.4x


Find the Selling price of goods :-

S.P = M.P - discount% of M.P
= 1.4x - 25% of 1.4x
= 1.4x - 0.35x
= 1.15x


Now, we have
Selling price = 1.15x
Cost Price = x


Selling price is greater than the Cost price. Therefore, Gain.


Gain = S.P - C.P
= (1.15x - x)
= 0.15x


Gain % = (profit × 100)/C.P %
= (0.15x × 100)/x %
= 15x/x %
= 15%


Hence,
Gain Percentage = 15%