A Man Sells An Article At A Profit Of 25%. If He Had Bought It At A 2

1.	A Man Sells An Article At A Profit Of 25%. If He Had Bought It At A 20% Less And Sold It For Rs.36.75 Less, He Would Have Gained 30%. Find The Cost Price Of The Article ?
Answer» Let the C.P be the article be Rs. x Profit = 25% ORIGINAL S.P = x + 25100x = Rs. 5x4 If he purchased it at 20% less, C.P = x- 20100x = Rs. 4x5 He SOLD the article at Rs. 36.75 So, the selling price = Rs. 5x4 – 36.75 Given, that he would have gained 30% selling at that price. THEREFORE, gain% = S.P-C.P = 5x4 -36.75 – 4x5 = 25x−16x20 -36.75 So, gain % = 9x20-36.75- 4x5(100) = 18375x = 18375105 = x = 175 The cost price of the article is Rs. 175. Let the C.P be the article be Rs. x Profit = 25% Original S.P = x + 25100x = Rs. 5x4 If he purchased it at 20% less, C.P = x- 20100x = Rs. 4x5 He sold the article at Rs. 36.75 So, the selling price = Rs. 5x4 – 36.75 Given, that he would have gained 30% selling at that price. Therefore, gain% = S.P-C.P = 5x4 -36.75 – 4x5 = 25x−16x20 -36.75 So, gain % = 9x20-36.75- 4x5(100) = 18375x = 18375105 = x = 175 The cost price of the article is Rs. 175.

A Man Sells An Article At A Profit Of 25%. If He Had Bought It At A 20% Less And Sold It For Rs.36.75 Less, He Would Have Gained 30%. Find The Cost Price Of The Article ?

Answer»

Let the C.P be the article be Rs. x

Profit = 25%

ORIGINAL S.P = x + 25100x

= Rs. 5x4

If he purchased it at 20% less,

C.P = x- 20100x

= Rs. 4x5

He SOLD the article at Rs. 36.75

So, the selling price = Rs. 5x4 – 36.75

Given, that he would have gained 30% selling at that price.

THEREFORE, gain% = S.P-C.P

= 5x4 -36.75 – 4x5

= 25x−16x20 -36.75

So, gain % = 9x20-36.75- 4x5(100)

= 18375x = 18375105

= x = 175

The cost price of the article is Rs. 175.