#### Question

The marked price of two articles A and B together is Rs 6,000. The sales tax on article A is 8% and that on article B is 10%. If on selling both the articles, the total sales tax collected is Rs 552, find the marked price of collected of the articles A and B.

#### Solution

Let the marked price of article A be Rs x and article B be Rs y.

The marked price of A and B together is Rs 6,000.

⇒ x + y = 6,000 ……..(i)

The sales tax on article A is 8% and that on article B is 10%.

Also the total sales tax collected on selling both the articles is Rs 552.

⇒ 8% of x + 10% of y = 552

⇒ 8x + 10y = 55,200 ……..(ii)

Multiply equation (i) by 8 and subtract it from equation (ii) we get,

2y = 7,200

⇒ y =3,600

Substituting y = 3,600 in equation (i) we get,

x + 3,600 = 6,000

⇒ x = 2,400

The marked price of article A is Rs 2,400 and article B is Rs 3,600.