Question

A coat was sold by a shopkeeper at a gain of 5%.if it had been sold for Rs 1650 less he would have suffered a loss of 5%.find the cost price

Answer 1

Let the C.P be X
Gain=5%
5%ofx
X/20
Sp=x+x/20
21x/20
new Sp=21x/20-1650
=21x-33000/20
loss=5%
21x-33000/20-21x/20=5%ofx
x=33000

Answer 2

Answer: let cp of the article = x

at 5% gain sp of article = x + (5/100)x = 1.05x

at 5% loss sp of article = x - (5/100)x = 0.95x

given that 1.05x - 0.95x = 1650

⇔0.1x = 1650

⇔ x = 1650/0.1

⇔x = Rs. 16500