Question

(A shopkeeper marks his goods at 40% above its cost price. He is able to sell
three fourth of his goods at the marked price. He sells the remaining goods at 40% discount. Find his
loss or gain percent on the whole transaction.)​

Answer 1

Let x be the cost price

Then marked price = x ( 1 + 40/100) = 7 x/5

Discount = 7x /5 × 40 /100

=> 14x/25

Now , Final selling price = 7x /5 - 14x /25 = 21 x/25

So, loss = x - 21x /25 = 4x /25

Loss percentage = 4x/25x × 100%

=> Loss percentage = 16%

Answer 2

let x be the cost price

then marked price = x ( 1+ 40/100) = 7x/5

discoun = 7x/5 X 40/100 = 14x/25

so final selling price = 7x/5 -14x /25 = 21x/25.

So loss = x - 21x/25 = 4x/25

so loss percentage = 4x/25x X 100% =16%