A shopkeeper sold an article at a gain of 5% If he had sold it for Rs 16 50 - Maths - Direct and Inverse Proportions

Question

A shopkeeper sold an article at a gain of 5% If he had sold it
for Rs 16 50 less, he would have lost 5% Find the C p of the
article

Prakhar Bindal · Answer

Let The CP Of The Article Be Rs x
Now If It Is Sold At A Gain Of 5%
Initial SP = x+5/100*x = 21x/20
Now Its Given That If He Had Sold It For Rs 16 50
Less
So 21x/20 - 16 50
He Would Have Lost 5%
So This Equals A Loss Of 5% On CP
Hence
x-5/100*x = 19x/20
Now These All Are Equal
Hence Equation Becomes
19x/20 = 21x/20 - 16 50
16 50 = 21x/20-19x/20 = x/10
x = 165
So Cost Price Of Article = Rs 165

A shopkeeper sold an article at a gain of 5%. If he had sold it for Rs 16.50 less, he would have lost 5%. Find the C.p of the article.