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.
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.
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