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A person bought two articles X and Y from a departmental store. The sum of prices before the sales tax was Rs. 130. There was no sales tax on the article X and 9% sales tax on the article Y. The total amount the person paid, including the sales tax, was Rs. 136.75. What was the price of the article Y before sales tax?

A person bought two articles X and Y from a departmental store. The sum of prices before the sales tax was Rs. 130. There was no sales tax on the article X and 9% sales tax on the article Y. The total amount the person paid, including the sales tax, was Rs. 136.75. What was the price of the article Y before sales tax? Correct Answer Rs. 75

Given,

Price of X + Price of Y = Rs. 130      ----(1)

Price of X + Price of Y + 9% of Price of Y = Rs. 136.75      ----(2)

Subtracting eq. (1) from (2), we get,

⇒ 9/100 × Price of Y = 136.75 – 130 = 6.75

⇒ Price of Y = 100/9 × 6.75 = Rs. 75

∴ Price of article Y before sales tax = Rs. 75

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