The cash difference between the selling price of an article at a profit of 4 % and 6 % is Rs 3. The Ratio of two selling prices is

A: 51: 52

B: 52: 53
C: 53: 54

D: 54: 55

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

For-profit,

S P = C P + 4 % o f C P = 1.04 X

For-profit,

S P = C P + 6 % o f C P = 1.06 X

It is given that cash differences between selling price is Rs

3

\Rightarrow 1.06 X - 1.04 X = 3

\Rightarrow 0.02 X = 3

∴ X = 150

i.e. Selling price of the first article

= 1.04 X = 1.04 \times 150 = 156 R s

and Selling price of the second article

= 1.06 X = 1.06 \times 150 = 159 R s

$∴$ The ratio of selling prices $= 159156 = 52 : 53$