The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________?

A. 51:52
B. 52:53
C. 51:53
D. 52:55

B. 52:53

Let cost price (CP) of the article be X rupees.

For 4% profit, SP=CP+4% of CP = 1.04X

For 6% profit, SP=CP+6% of CP = 1.06X

It is given that cash differences between selling price is Rs 3
1.06X−1.04X=3
0.02X=3
X=150

so,
Selling price of first article = 1.04X
Selling price of first article = 1.04×150
Selling price of first article = 156 Rupees

and,
Selling price of second article = 1.06X
Selling price of second article = 1.06×150
Selling price of second article = 159 Rupees

Ratio of selling prices = 156/159
Ratio of selling prices = 52:53

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